Question

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 reveiwing their sales for the first three months, the company determined that blue t-shirts were more popular and changed the printing to 4:9. If they initially printed 75 blue t-shirts, how many red t-shirts are now being printed?

Answer 1

The number of red t-shirts that are now printed is 195.

Description of ratios.

Ratio is used to express the relationship between two numbers. It shows the frequency that a number is contained in another number.

Number of red t-shirts initially printed

8/5 = x / 75

x = number of red t-shirts initially printed

x = (75 x 8) / 5

x = 120

Number of red t-shirts now printed

4/9 = 120 / (y + 75)

y = increase in the number of blue t-shirts now being printed

4(y + 75) = 120 x 9

y + 75 = 270

y = 270 - 75

y = 195

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