Question

Polo shirts come in two colors- white and blue. There are 18 more white polo shirts than blue polo shirts. The white polo shirts make up 68% of the total number of polo shirts. What is the total number of polo shirts?

Answer 1

Answer:

The total number of polo shirts is 50

Step-by-step explanation:

Let

x -----> the number of white polo shirts

y -----> the number of blue polo shirts

we know that

$x=y+18$ -----> equation A

$68\%=68/100=0.68$

$x=0.68(x+y)$ ------> equation B

substitute equation A in equation B and solve for y

$y+18=0.68(y+18+y)\\ y+18=0.68(2y+18)\\ y+18=1.36y+12.24\\ 1.36y-y=18-12.24\\ 0.36y=5.76\\ y=5.76/0.36\\ y=16\ blue\ polo\ shirts$

Find the value of x

$x=16+18=34\ white\ polo\ shirts$

Find the total number of polo shirts

$x+y=34+16=50\ polo\ shirts$