SOLUTION: I am having trouble with a word problem. The question is: Runyon Co. sells T-shirts for $4 and shorts for $5. If total sales were $850 and people bought three times as many T-s

Question 620084: I am having trouble with a word problem. The question is:
Runyon Co. sells T-shirts for $4 and shorts for $5. If total sales were $850 and people bought three times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold?
I think that shorts should be X and shirts should be 3X, but I'm not sure how to figure the rest.
Thank you for your help,
Lance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Runyon Co. sells T-shirts for $4 and shorts for $5. If total sales were $850 and people bought three times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold?
I think that shorts should be X and shirts should be 3X, but I'm not sure how to figure the rest.
---
Equations:
Quantity Eq::: T = 3S
Value Eq::::; 4T + 5S = 850
------
Substitute for "T" and solve for "S":
4(3S) + 5S = 850
17S = 850
S = 50 (# of shorts sold)
-----
Solve for "T":
T = 3S
T = 3*50 = 150 (# of T-shirts sold)
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Cheers,
Stan H.
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