SOLUTION: Jacob is responsible for buying uniforms. The tops are $2.50 more than the shorts. He orders 20 tops and 17 shorts. His total cost is $346. How much does he order of each item.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jacob is responsible for buying uniforms. The tops are $2.50 more than the shorts. He orders 20 tops and 17 shorts. His total cost is $346. How much does he order of each item.       Log On


   

Question 513839: Jacob is responsible for buying uniforms. The tops are $2.50 more than the shorts. He orders 20 tops and 17 shorts. His total cost is $346. How much does he order of each item.
Found 2 solutions by solver91311, umail08:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the cost of the shorts. Then the tops must cost .



Solve for , then calculate , then calculate and

John

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Answer by umail08(87) About Me  (Show Source):
You can put this solution on YOUR website!
x = cost of shorts
x + 2.50 = cost of tops
17x + 20(x + 2.50) = 346
17x + 20x + 50 = 346
37x + 50 = 346
37x + 50 – 50 = 346 – 50
37x = 296
x = $8 … cost of shorts
x + 2.50 = $8 + $2.50 = $10.50 … cost of tops
17x = 17($8) = $136 .. order for shorts
20($10.50) = $210 … order for tops