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 the
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-> 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 the
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Question 198238This question is from textbook
: 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? This question is from textbook
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the price of the grapefruit=x
the price of the toy ball=y
total bill=x+y=$5.15
tax on the toy ball=$0.18
rate of tax to the price of non food items=7%
here non food iteam is toy ball
rate of tax on toy ball=7%
saletax=Rate of sales tax*Marked price
Marked price of toy ball=saletax of toy ball/rate of sales tax
marked price of toy ball=0.18/7% (i.e;1%=1/100,7%=7/100)
marked price of toy ball=0.18/(7/100)
marked price of toy ball=(0.18*100)/7
marked price of toy ball=18/7= $2.57
sales price=marked price+sales tax
sales price of toy ball=$2.57+$0.18
sales price of toy ball=$2.75
total bill=$5.15
sales price of grape fruit+sales price of toy ball=$5.15
x+y=$5.15
x+$2.75=$5.15
x=$5.15-$2.75
x=$2.4
the price of grape fruit=$2.4
the price of toy ball=$2.75