One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes are on display?
A. 90
B. 54
C. 45
D. 81
Let the number of pairs of running shoes be R and the number of pairs of walking shoes be W. According to the information, we have two equations:
1) W = 1.5 * R (There are 1.5 times as many walking shoes as running shoes)
2) W + R = 135 (The total number of shoes is 135)
From the first equation, substitute W in the second equation with 1.5 * R:
1.5R + R = 135
Combine like terms:
2.5R = 135
Now, divide both sides by 2.5 to solve for R:
R = 135 / 2.5
R = 54
Now we know there are 54 pairs of running shoes. To find the number of walking shoes (W), we use the first equation:
W = 1.5 * R
W = 1.5 * 54
W = 81
There are 81 pairs of walking shoes on display. So the correct answer is:
D. 81