Question

PLEASE HELP ME

A new clothing company prints the same t-shirt in different colors. The ratio of the number of red t-shirts to the number of blue t-shirts was 8:5. After reviewing their sales for the first three months, the company determined that blue t-shirts were more popular and changed the printing ratio to 4:9. If they initially printed 75 blue t-shirts, how many red t-shirts are now being printed?

Answer 1

Answer: 195 Red T-shirts

Explanation:

They initially printed 75 blue t-shirts, so make a proportion (red/blue = red/blue)

8/5 = x/75

Red shirts = x = 120

Then they changed the printing ratio to 4:9 (red to blue)

120/75 needs to now become 4/9 by increasing the blues. Let that equal x

120/(75+x) = 4/9

1080/(75+x) = 4

1080 = (75 + x)(4)

780 = 4x

x = 195