Question

Greg's grocery store placed an order for yogurt. The store ordered 1,020 cartons of yogurt. Each carton ordered was blueberry, Peach, strawberry, or lemon. The store order twice as many cartons of blueberry yogurt as Peach. They ordered twice as many strawberry cartons as lemon ones. They ordered twice as many lemon cartons as blueberry cartons. How many cartons of strawberry yogurt did the store order? ?

Answer 1

544

Explanation:

The ratios of cartons are ...

B : P = 2 : 1

S : L = 2 : 1

L : B = 2 : 1

Combining these into a single set of ratios, we have ...

S : L : B : P = 8 : 4 : 2 : 1

Then the proportion of the order that is strawberry is ...

8/(8+4+2+1) = 8/15

and the number of strawberry cartons is ...

(8/15)·1020 = 544

The store ordered 544 cartons of strawberry yogurt.