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 and running shoes are on display?
A 90 pairs of walking shoes and 45 pairs of running shoes B 54 pairs of walking shoes and 81 pairs of running shoes C 45 pairs of walking shoes and 90 pairs of running shoes D
81 pairs of walking shoes and 54 pairs of running shoes
Let x be the number of pairs of running shoes on display.
Then, 1.5x is the number of pairs of walking shoes on display.
The total number of pairs of shoes is x + 1.5x = 2.5x = 135.
So, x = 135 / 2.5 = 54.
Therefore, there are 54 pairs of running shoes and 1.5(54) = 81 pairs of walking shoes on display.
The answer is option B: 54 pairs of walking shoes and 81 pairs of running shoes.
X +y
Let x be the number of pairs of running shoes on display.
Let y be the number of pairs of walking shoes on display.
We know that x + y = 135 (total number of pairs of shoes on display)
We also know that there are 1.5 times as many pairs of walking shoes as there are running shoes on display, so y = 1.5x
Substituting the second equation into the first equation:
x + 1.5x = 135
2.5x = 135
x = 135 / 2.5
x = 54
Therefore, there are 54 pairs of running shoes (x) and 1.5(54) = 81 pairs of walking shoes (y) on display.
The answer is option B: 54 pairs of walking shoes and 81 pairs of running shoes.