Question

Your closet has 5 shirts for every 2 sweaters. In total, your closet has 30 shirts. How many sweaters are in your closet?

Answer 1

ratio 5:2 represents shirts to sweaters

30:x = 5:2 * ?:?

30:x = 5:2 * 6:6 = 30:12

So 12 sweaters

Explanation:

Answer 2

Hi! Your answer here is 12 - there are 12 sweaters in your closet. The clearest way to look at this problem is to make a table. On one side, you'll have the sweaters, and on the other, you'll have the shirts. It looks like this:

2 - 5

4 - 10

6 - 15

8 - 20

10 - 25

12 - 30

As the number of sweaters increases by 2, the number of shirts increases by 5. Once you've reached 30 shirts in the second column, the number in the first column will represent how many sweaters there are in your closet - in this case, there are 12.