SOLUTION: Hello I'm having a problem with this solution. Bobbie sold 35 T shirts and socks. T-shirts were sold at $9.00 and socks for $5.00. Total sales came to $287. How many of each were

Question 4860: Hello I'm having a problem with this solution.
Bobbie sold 35 T shirts and socks. T-shirts were sold at $9.00 and socks for $5.00. Total sales came to $287. How many of each were sold? What was the total dollar sales of each? Thank You for your help.
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
Let T = The number of T-shirts bobby sold
Let S = the number of socks bobby sold
9T = The total dollars that the T-shirts earned
5S = The total dollars that the socks earned
We know that the total sales from both came to $287, So:
9T+5S=287
And we know that he only sold a total of 35 items:
T+S=35
This can be rewritten as S=35-T, by subtracting T from both sides.
Then used 35-T to put into our total sales equation as a substitution for S:
9T+5(35-T)=287
Clear the parentheses:
9T+175-5T=287
Combine like terms (subtract $175 from both sides of the equation)
4T=112
Divide both sides by 4
T=28
He sold 28 T-shirt, so he sold 7 pairs of socks (35-28=7)
Check your answer:
28*9.00=$252
7*5.00= $ 35
252+35=287, so this is correct.

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