Generic sugar which costs $2.23/kg is made by combining brand X sugar which costs $1.18/kg with brand Y sugar which costs $3.98/kg. Find the number of kg of brand X sugar and brand Y sugar required to make 40 kg of generic sugar.

Answer:

X = 14 kg

Y= 7 kg

Step-by-step explanation:

LET  X and Y equal the amounts of brand X and Y

X = kg of brand X

Y = kg of brand Y

we know:

1)   X    +    Y   =   21    (kg)

2)   1X  +   4Y  =   2(X + Y)        (This is the cost/kg * amounts for total cost)  

Coefficients 1,4,2  are the cost/kg)

substitute eq. 1 (X+Y), = 21 into right side of equation 2

1X + 4Y = (21)*2

use elimination to solve 2 equations

X   +   Y = 21

X   + 4Y = 42        (now subtract,       note:  I wrote the 1X as just X)

------------------

0     -3Y  = -21       OR   Y = 7 kg   so X = (21-7) OR   X = 14 kg

is 4/3y=x a direct variation?

is y-7x=0 a direct variation?

is y=2x+4 a direct variation?

Giving Brainliest to the first CORRECT answer. I will delete your answer if you try to just get the points!!! So, I would advise just to answer the question with smarts in reward of Brainliest! :)

Can anyone help me with this question

-5(y+10)

help please what is the rate of change

3 algebra questions ill give brainliest!! no random answers or ill report.

The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

a pair of jeans cost 35.00. the sales tax is 7%. how much is the sale tax?

what is 2(x - 3) + 3y = 0 solve for y :D

Please help me I have a C in math and the marking period is over this week

Determine a rational number in between -2 1/4 and -2.8 justify and graph where it would be on a number line

Please answer ASAP!!! I really need this fast, ty! :)

what is the solution

$22.95 shirt, 10% markup and 6% tax

help again please QwQ thank you so much-

Angelica is deciding which bank would give her the best simple interest rate on a $300 deposit. One bank says she will have $320 in her account if she leaves the principal for 2 years. Is this enough information for Angelica to find the interest rate?

PLEASE HELP

Jason earns $20 per game as a referee in youth soccer games. Write an expression to find how much money Jason will earn for refereeing n number of games. How much will he earn for refereeing 6 games?
plz plz i beg

I WILL GIVE 69 POINTS AND BRAINLIEST TO WHOEVER ANSWERS ALL 5 QUESTIONS

Sheldon harvests the strawberries and tomatoes in his garden.

He picks 125 kg less strawberries in the morning than in the afternoon. If Sheldon picks 214 kg in the morning, how many kilograms of strawberries does he pick in the afternoon? Explain your answer using words, pictures, or equations.

Help me please im dying becuase of this

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP :O Simple Algebra! I'll give BRAINLIST!!!!!!!! Pls look at the image below. Please do all. Tell me which is equivalent. TY. Quick pls

Use the function graphed on the coordinate plane below.

A square has a side length of . Which of the following rational numbers best describes this value?

If Brenna's original interest rate was 4.575%, what is her new interest rate after the points purchase​

4325 divided by 3


please help me on this i will mark brainliest

PLEASE HELP ASAP!!!! WILL GIVE BRAINLIEST

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

2. Write an equation to represent the number of pages Jesse has read.

Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.

3. Write the system of equations using your answers from questions 1 and 2.

4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.

5. Solve the system of equations. Show your work.

Which pair of expressions are equivalent?
A
3x+2+2x and 7x

B
8(x−3) and 8x−24

C
4(x+1) and 4x+1

D
3(5x) and 8x

guys need help with this question NOTE: the answer is a mixed number not a whole number.

A pair of running shoes cost 60.00. The sales tax is 3%. How much is sales tax?

1. What is the simple interest on $4,500 for 2 and a half years at 4% per year?
2. On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
3. What is the simple interest on $40,000 for 10 years at 12%?
4. For a loan of $40,000 at 12% for 10 years, how much do you wind up paying back?

a triangle has a side length of 13 cm and 5 cm. Which could be the value of the third side. 19 cm or 13 cm?

is 9% of 20 greater than or less than 2?