Question

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 129 shirts and 84 jeans 150 shirts and 75 jeans 160 shirts and 71 jeans

Answer 1

Answer:

150 shirts and 75 jeans

Step-by-step explanation:

s = shirts

j = jeans

12s+28j = 3900

The profit on the shirts is 70 percent so we multiply 12 by .7  

12*.7 = 8.4

The profit on the jeans is 125 percent so we multiply 28 by 1.25  

The profit was 3885

28*1.25 = 35

8.4s+ 35j=3885

We now have 2 equations and 2 unknowns

12s+28j = 3900

8.4*s+ 35j=3885

I am going to solve by elimination

Multiply the first equation by -.7

-.7 (12s+28j )= -.7*3900

-8.4s -19.6j=-2730

Add this to the second equation

-8.4s -19.6=-2730

8.4s+ 35j=3885

------------------------

15.4j = 1155

Divide each side by 15.4

15.4j/15.4= 1155/15.4

j = 75

Now we need to find the shirts.

We will substitute j=75

12s+28(75) = 3900

12s +2100 = 3900

Subtract 2100 from each side

12s = 3900-2100

12s = 1800

Divide by 12

12s/12 = 1800/12

s =150