Question

A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in​ all, how many shirts are there of each​ color?

Answer 1

Answer: green shirts = 6

Blue shirts = 11

Yellow shirts = 4

Red shirts = 7

Step-by-step explanation:

Red shirts = 7

Let green shirts be x.

There are 5 more blue shirts than green shirts. This means:

Blue shirts = x + 5

There are 2 fewer yellow shirts than green shirts. This means:

Yellow shirts = x - 2

There are 28 shirts in total

Red + blue + yellow + green = 28

7 + (x + 5) + (x - 2) + x = 28

7 + x + 5 + x - 2 + x = 28

10 + 3x = 28

3x = 28 - 10

3x = 18

x = 18/3

x = 6

There are 6 green shirts

Blue shirts = x + 5 = 6 + 5 = 11

Yellow shirts = x - 2 = 6 - 2 = 4

Red shirts = 7