SOLUTION: Help me find linear equations word problem A man gos to the 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Help me find linear equations word problem A man gos to the 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      Log On


   



Question 640938: Help me find linear equations word problem
A man gos to the 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 toy ball?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = the price in cents of the grapefruit
Let +b+ = the price in cents of the ball
given:
(1) +b+%2B+.07b+=+515+-+g+
(2) +.07b+=+18+
--------------
(1) +1.07b+=+515+-+g+
(2) +b+=+18%2F.07+
(2) +b+=+257.14+
and
(1) +1.07%2A257.14+=+515+-+g+
(1) +275.14+=+515+-+g+
(1) +g+=+515+-+275.14+
(1) +g+=+239.86+
The grapefruit is $2.40
The ball is $2.57
check:
+515+=+240+%2B+1.07%2A257+
+515+=+240+%2B+275+
+515+=+515+
OK