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?
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?
Solution
To solve this problem, we need to maintain the same ratio of sneakers to sandals as was in the last month. The ratio of sneakers to sandals last month was 80:200, which simplifies to 2:5.
This month, they plan to order 20 pairs of sneakers. To find out how many pairs of sandals they will order, we need to set up a proportion using the ratio from last month and solve for the unknown.
The proportion is 2/5 = 20/x, where x is the number of pairs of sandals they will order.
Cross-multiplying gives us 2x = 100.
Solving for x, we get x = 100 / 2 = 50.
So, Sunny Steps shoe store will order 50 pairs of sandals.
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