SOLUTION: I am selling T-shirts and sweatshirts for our school. The T-shirts cost $10 and the sweatshirts cost $25. I知 starting out with $50 in my box for change and now have 1400 in my box

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Question 1107324: I am selling T-shirts and sweatshirts for our school. The T-shirts cost $10 and the sweatshirts cost $25. I知 starting out with $50 in my box for change and now have 1400 in my box. I know I have sold five more than four times as many T-shirts or sweatshirts. How many of each do I sell
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
T-shirts = T
Sweatshirts = S
you sold 1400 - 50 = 1350
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T = 4S + 5 I'll use this value for T below:
10T + 25S = 1350
10(4S + 5) + 25S = 1350
40S + 50 + 25S = 1350
65S = 1300
S = 20 You sold 20 sweatshirts
and:
T = 4S + 5
T = 4(20) + 5
T = 80 + 5 = 85 You sold 85 T-shirts
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Check:
20(25) + 85(10) = 500 + 850 = 1350 The answer is correct