SOLUTION: Can you please help with this word problem. A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the to

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Can you please help with this word problem. A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the to      Log On

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Question 63235: Can you please help with this word problem.
A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
food + ball + tax = total
1. +f+%2B+b+%2B+.07b+=+5.15+
and
2. +.07b+=+.18+
solve for b
3. +b+=+2.57+ (rounded)
Plug 2 and 3 into 1
+f+%2B+2.57+%2B+.18+=+5.15+
combine like terms
+f+%2B+2.75+=+5.15+
subtract 2.57 from both sides
+f+=+2.40+

CHECK:
food + ball + tax = total
+2.40+%2B+2.57+%2B+.18+=+5.15+
+4.97+%2B+.18+=+5.15+
+5.15+=+5.15+
YES!!!