SOLUTION: John wants to buy something for himself with his pocket money. He has a budget of $105 to spend on $25 T-shirts, $10 CDs, $5 books. He wants to buy 10 items and wants to buy as man

Question 1095496: John wants to buy something for himself with his pocket money. He has a budget of $105 to spend on $25 T-shirts, $10 CDs, $5 books. He wants to buy 10 items and wants to buy as many books as T-shirts and CDs combined.
How many of each item should he buy? Write a system of equations to help you solve this problem.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Let t = T-shirts, c = CDs, and b = books

the number of items is 10
the total cost ($25 for a T-shirt, $10 for a CD, $5 for a book) is 105
the number of books is equal to the combined number of T-shirts and CDs

I'll let you solve the system of equations to find the answer to the problem.

Note that the first and last equations together immediately give you the number of books; then substituting that number into the first and second equations gives you a system you can solve to find t and c.
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