Mathematics High School

The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?

Answers

Answer 1

Answer:

$400

Step-by-step explanation:

Let the initial total cost be represented = $X.

Hence, for 20 family members

= $ x/20 each .......1

Now that they are 25 members

= $x/25 each.......2

Each in the original group which is equation 1 owed $4 less.

That is,

x/20 - 4 ........ 3

Now equate 2 and 3

X/20 - 4/1 = X/25

Taking the LCM of both sides

X-80/20 = X/25

Cross multiply both sides

25( x-80 ) = 20x

25x-2000 = 20x

Collecting like terms

25x-20x = 2000

5x = 2000

Divide through by 5

X = 2000/5

X = 400

The total cost for the catered meal is $400.

To check if it was correct

Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4

From equation 1

400/20 = $20

From equation 2

400/25 =$16

$20-$16 = $4

Thanks

Related Questions

Hola me podría alguien ayudar con esto? Muchas gracias!

Answers

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

Other Questions
Use completing the square to find the equation of the following circle in standard form. x2 + y2 - 4x + 12y - 16 = 0 please help is it 2/9? Settlers who used this trail were escaping religious discrimination.- California Trail- Old Spanish Trail- Mormon Trail- Santa Fe Trail Use the rule x + 9 to write a sequence. Start with x = 0.Be sure to write a sequence of at least six numbers, each separated by commas:0, ___, ___, ___, ___, ___ Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden? What is the area of this tile 5. The title of Passage 1 says Bessie Coleman broke barriers as first African American female to fly. Fill in the circle before the sentence that best supports that statement. (RI 3.8) A She spent her savings learning French and headed to Paris in 1920. B She became famous for her ability to do complex stunts in the air. C Coleman said she knew there were no African-American pilots. D She also knew her race needed to be represented in flying. E So I thought it my duty to risk my life to learn aviation and to encourage flying among men and women of our race," she said.6. Which two sentences should be included in a summary of Passage 1? (RI 1.2) A Bessie Coleman was born January 26, 1892. B Bessie Coleman persevered to become the first African American female pilot in the United States. C The Wright Brothers were the first to build a flying airplane. D Bessie Coleman was mistreated because of her race and gender. E Segregation refers to the separation of specific people groups. 7. What does the word credited mean as it is used in paragraph 3? (RI 2.4) She was inspired by World War I stories and the famous Wright brothers. They are credited with building and flying the world's first airplane. A known as the ones that first built an airplane B given money for building the first plane C told to build the first plane D overlooked as the first ones that built the plane 8. What role does paragraph 2 have in Passage 1? (RI 2.5) A explains why Coleman wanted to become a pilot B describes ways that Coleman showed bravery C compares Coleman to the Wright Brothers D explains how others honor Coleman and her legacy9. This question has two parts. First, answer Part A. Then, answer Part B. (RI 3.8) Part A Which sentence gives a point made by the author of Passage 2? (RI 3.8)A Dorothy Vaughn was a successful mathematician. B Dorothy Vaughn struggled to fly spacecraft. C Dorothy Vaughn was the first female to travel to space. D Dorothy Vaughn relied on other women to help her achieve her goals. Part B Which sentence from Passage 2 provides evidence for the answer in Part A? A She also became a dedicated advocate for female employees who deserved promotions or raises, often supporting white women as well. B ...Vaughan became the manager of her division and its first black supervisor. C ...Vaughan was part of a team that did mathematical calculations to help launch satellites and later humansinto space. D ...she learned computer programming and worked on the program that launched John Glenn and other astronauts into space for the first time.10. How does the image contribute to your understanding of Passage 2? (RI 3.7) A by showing how complex space shuttles are during a launch B by showing how much smoke a space shuttle launch has C by showing the math calculations Vaughan has to complete D by showing that they launch space shuttles during the day Now answer Number 11 based on Queen Bessie and Dorothy Johnson Vaughan. 11. Based on the information in Passages 1 and 2, which claim is supported in both texts? (RI 3.8) A People risk their lives to learn aviation. B Scientists break barriers to make changes in their profession. C People overcome challenges to become successful in their careers. D Pilots become famous by navigating complex stunts What type of fallacy or faulty reasoning is used in this passage? x ad populum O begging the claim O genetic fallacy O hasty generalization Hazel schedules the work of several different departments in a factory and makes sure they stay on schedule. Her jobtitle is best described asRenita hand packages delicate items for shipping. Her job title is best described asPrince buys materials for a plant that manufactures cars. His job title is best described asMason operates equipment to package products for shipping. His job title is best described as5) IntroDone Why does Muir point out the flaws in his opponents arguments? How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare tothe volume of a cylinder with a radius of 8 inches and a height of 6 inches? What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex] The Raven by Edgar Allen Poe#3 Which phrases in the lines reflect the authors use of alliteration? SELECT 3Read the following lines from the poem.Deep into that darkness peering, long I stood there wondering, fearing,Doubting, dreaming dreams no mortal ever dared to dream before;But the silence was unbroken, and the darkness gave no token,And the only word there spoken was the whispered word, Lenore!This I whispered, and an echo murmured back the word, Lenore!Merely this and nothing more.Which phrases in the lines reflect the authors use of alliteration? Select three options.A. Deep into that darkness peering,B. long I stood there wondering, fearing,C. Doubting, dreaming dreamsD. But the silence was unbroken,E. was the whispered word, Lenore! Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead? Some people in an office building are experiencing nausea and vomiting,Which of these strategies would not help reduce the pollutants that may be responsible for these symptoms?A) providing smoking workers with an area where they can smokeB) cleaning the ventilation system of the buildingC) cleaning areas in the building that may have biological irritantsD) changing the insulation material used in the buildingE) finding sources of heavy-metals pollution and developing a plan to decrease their effect pls answer this i have no clue The United States became involved in World War II primarily because B) European democracies supported United States policies toward Germany and Japan B) European democracies supported United States policies toward Germany and Japan D) the Japanese empire bombed the US Naval base at Pearl Harbor, Hawaii D) the Japanese empire bombed the US Naval base at Pearl Harbor, Hawaii C) President Franklin D. Roosevelt did not enforce the Neutrality Acts C) President Franklin D. Roosevelt did not enforce the Neutrality Acts A) Germany refused to pay its debts from World War I A) Germany refused to pay its debts from World War I Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers. What is the best thesis statement for this argument?A. Our school needs to offer several selections for food at lunch.B. many schools in nearby districts offer a variety of meal options to their students.C. some of our students are not allowed to eat certain foods and must skip lunch.D. School should not be allowed to sell high-fat desserts to students. Please answer correctly! I will mark you Brainliest!