Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
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Answer: original price of blouse = $24
Explanation: Assume that the original price of the skirt is x and that the original price of the blouse is y.
We know that: 1- 3/4 of their price together is $31.5 This means that: 3/4 (x+y) = 31.5 ............> equation I
2- original price of blouse is $18. This means that: x = 18 .............> II
Substitute with II in I and solve for y to get the original price of the blouse as follows: 3/4 (x+y) = 31.5 3/4 (18+y) = 31.5 3 (18+y) = 31.5 * 4 3 (18+y) = 126 18 + y = 126 / 3 18 + y = 42 y = 42 - 18 y $24