SOLUTION: I need help with writing an equation for 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 the non food i

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Question 327434: I need help with writing an equation for 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 the non food item. If the total bill is $5.15 including $0.18 in tax on the toy ball, what are the prices of the fruit and the ball?
What I have come up with so far is: I am using x = grapefruit
y = ball
total bill = $5.15
So I did this: x + y = $5.15
and x + y(.08) = $5.15 I'm not sure if this is correct equations or what, as of now I am at a loss. Thank you for your help.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
two unknowns means two equations

.07b = .18

g + 1.07b = 5.15

solve the 1st equation for b , then substitute the value into the 2nd equation to find g

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