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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