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?

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

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the first option i believe

step-by-step explanation: