luis owns an assortment of hats. the ratio of winter hats to baseball hats is 2:3. if luis owns a total of 20 hats, how many winter hats are there

Explanation:

x = number of winter hats

20-x = number of baseball hats

Dividing those quantities will get us 2/3 because of the ratio 2:3

x/(20-x) = 2/3

3x = 2(20-x)

3x = 40-2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

There are 8 winter hats

And there are 20-x = 20-8 = 12 baseball hats.

The ratio 8:12 reduces to 2:3 after dividing both parts by 4. This helps confirm the answer.