Deon feeds his Great Dane 62 cups of dog food per week. He has a new bag with 160 cups of dog food. Deon will pick up more dog food at the pet store in 2 1··2weeks. Will the new bag of food last until then? Show your work.

xplanatiоn is in a fileAnswer:

Step-by-step explanation:

New bag of food will last until 2 1/2 weeks.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p : q = r : s or p/q = r/s

Given that,

Amount of food fed to Great Dane by Deon in 1 week = 62 cups

He has a new bag with 160 cups of dog food.

He needs this food to last up to 2 1/2 or 2.5 weeks.

We have,

Amount of food needed in 1 week = 62 cups

Let Amount of food needed in 2.5 weeks = x cups

Ratio of 1 week to 62 cups and 2.5 weeks to x cups will be equal.

So using proportional concept, we can write this as,

1 / 62 = 2.5 / x

We have to find the value of x.

Doing the cross multiplication,

x = 2.5 × 62 = 155 cups

So the amount of food needed in 2.5 weeks = 155 cups.

But he has a new bag with 160 cups which is more than enough for 2.5 weeks, since only 155 cups is needed for 2.5 weeks.

Hence the new bag of food will last until 2 1/2 weeks.

Learn more about Proportions here :

https://brainly.com/question/165414

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