SOLUTION: 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

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Question 601583: 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 nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
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?
.
Let g = cost of grapefruit
and b = cost of ball
then
since we know the tax on the ball:
.07b = .18
.
solve equation for b:
.07b = .18
b = .18/.07
b = $2.57 (cost of ball)
.
"cost of grapefruit" + "cost of ball" + "tax on ball" = "total"
g + 2.57 + .18 = 5.15
g + 2.75 = 5.15
g = $2.40 (cost of grapefruit)