Question

Last month, Sunny Steps shoe store ordered 80 pairs of sneakers and 200 pairs of sandals. This month, they plan to order the same ratio of sneakers to sandals, and they only plan to order 20 pairs of sneakers.

How many pairs of sandals will Sunny Steps shoe store order?
pairs of sandals

Answer 1

50 sandals

Explanation:

Let s be sneakers and p be sandals

80s : 200p = 2s : 5p

20s : X = 2s : 5p

80/200 = 2/5

20/X = 2/5

cross-multiply

80s/200p × 2s/5p = 20/X × 2s/5p

0.4s × 0.4p = 8s/X

0.16sp = 8s/X

cross-multiply

X = 50p

80 : 200 = 2:5

20 : 50 = 2:5