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 .18 in tax on the toy

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 .18 in tax on the toy      Log On


   



Question 230902: 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 .18 in tax on the toy ball, what are the prices of the grapefruit and the ball.
I am thinking that this is easier then I am thinking. the amount of tax has already been given so if I set this up it would look like ...
.18/x 7/100 I would need to solve for x which will give me the cost of the ball and then I would just need to subtract from the total minus the .18

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think the key to getting this problem is to
realize (though they don't say so) that there is no
tax on the grapefruit
Let g = the price of the grapefruit in cents
Let b = the price of the ball (excluding tax) in cents
given:
.07b+=+18
b+=+257
Tax + price of ball = 257+%2B+18+=+275 cents
The toal bill is 515 cent
515+-+275+=+240
The price of the ball is $2.57
The price of the grapefruit is $2.40