Set up an equation that can be used to solve the problem. Solve the equation and
ID: 2904278 • Letter: S
Question
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value. At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6 % sales tax. Determine the cost of a half hour rental before tax. The equation is ? . The cost of a half hour rental is $? per half hour.
A furniture store has a sale offering 10% off of all furniture. If Amanda spent $387.99 on furniture before tax, what was the price of the furniture she purchased before the discount and before tax?
The equation is? The cost of the furniture before the discount and tax is ?
.
Explanation / Answer
let ost of a half hour rental before tax =x
6 % sales tax
=>sales tax =0.06x
cost of renting a personal watercraft is $53 per half hour, includes a 6 % sales tax
he equation is x+0.06x =53
1.06x=53
x=53/1.06
x=50
The cost of a half hour rental before tax is 50 dollars per half hour
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let price of the furniture she purchased before the discount and before tax be x
furniture store has a sale offering 10% off of all furniture
price after discount=(1-(10/100))x
price after discount=0.9x
Amanda spent $387.99 on furniture before tax
The equation is 0.9x =387.99
x=387.99/0.9
x=431.1 dollars
The cost of the furniture before the discount and tax is 431.1 dollars
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