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In Mrs. Bishop’s closet, there are 10 shirts and 15 skirts.

(a) Find the simplified ratio of shirts to skirts.

(b) If the ratio of shirts to skirts doesn’t change, but now the closet has 75 items in it. How many skirts will there be?

1 Answer

3 votes

Answer:

(a) 2/3

(b) 45

Explanation:

(a)

The "ratio of shirts to skirts" means "the number of shirts divided by number of skirts."

10 shirts

15 skirts

shirts : skirts = 10/15 = 2/3

Answer: 2/3

(b)

In the simplified ratio, there are 2 shirts for every 3 skirts.

Add 2 + 3 = 5.

The ratio of skirts to total number of items of clothing is 3:5.

There are 3 skirts to each 5 items of clothing.

Set up a proportion.

3/5 = x/75

5x = 3 * 75

x = 3 * 15

x = 45

Answer: 45

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