Question

A bakery determines that producing 300 cakes requires 57 gallons of milk. If the gallons of milk required varies directly with the amount of cakes produced, approximately how many gallons of milk will be required to make 200,000 cakes annually?

Answer 1

Answer:  38,000 gallons

Step-by-step explanation:

Given : A bakery determines that producing 300 cakes requires 57 gallons of milk.

Ratio of milk to cakes = $\dfrac{57}{300}$    (1)

Let x be the number of gallons of milk will be required to make 200,000 cakes.

Ratio of milk to cakes = $\dfrac{x}{200000}$    (2)

If the gallons of milk required varies directly with the amount of cakes produced,then from (1) and (2)

$\dfrac{x}{200000}=\dfrac{57}{300}\\\\ x=\dfrac{57\times200000}{300}=38000$  

Hence,  38,000 gallons of milk will be required to make 200,000 cakes annually.