Q:

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans

Accepted Solution

A:
Answer:150 shirts and 75 jeansStep-by-step explanation:s = shirtsj = jeans12s+28j = 3900The profit on the shirts is 70 percent so we multiply 12 by .7  12*.7 = 8.4The profit on the jeans is 125 percent so we multiply 28 by 1.25  The profit was 388528*1.25 = 358.4s+ 35j=3885
We now have 2 equations and 2 unknowns12s+28j = 39008.4*s+ 35j=3885I am going to solve by eliminationMultiply the first equation by -.7-.7 (12s+28j )= -.7*3900-8.4s -19.6j=-2730Add this to the second equation-8.4s -19.6=-27308.4s+ 35j=3885------------------------15.4j = 1155Divide each side by 15.415.4j/15.4= 1155/15.4j = 75
Now we need to find the shirts.We will substitute j=7512s+28(75) = 390012s +2100 = 3900Subtract 2100 from each side12s = 3900-210012s = 1800Divide by 1212s/12 = 1800/12s =150