Question

Destiny's closet was a disaster and her mom told her to put her shirt away as she was doing this destiny realize that for every three blue shirts she has five yellow shirts. How many shirts has Destiny if the total of shirts is 72

Answer 1

Blue shirts = B

Yellow shirts = Y

Total shirts = T

$T=B+Y$

For every 3B there are 5Y

$3B=5Y$

Then we clear a variable of one of the equations:

In 3B = 5Y

$B=\frac{5}{3}Y$

We use this in the equation T = B + Y with T=72

$72=\frac{5}{3}Y+Y$

We clear the Y:

$72=\frac{8}{3}Y$$72\cdot\frac{3}{8}=Y$$Y=27$

We use this value of Y in the equation 3B=5Y to know the B:

$3B=5(27)$$B=\frac{135}{3}=45$Then so, the number of shirts is:27 yellow shirts and 45 Blue shirts