Question

Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had an original price of $250, but is on sale for $150. Which guitar has a greater percent change in price?

Answer 1

the one on sale for $100 would be the better buy for the guitar

Answer 2

the second option has a greater change in price 40%

Explanation:

Hello , Let me help you with this

to solve this you can find the percent change in price for every guitar using a simple rule of three.

Step 1

The first had an original price of $160, but is on sale for $100.

if

$160 ⇒ 100%

$100 ⇒x?

the relation is

`(160)/(100)=(100)/(x)\\solve\ for\ x\\(x*160)/(100)=100\\x*160=100*100\\x=(100*100)/(160) \\x=62.5`

the discount will be

100%-62.5%=37.5%

the discount is 37.5%

Step 2

The first had an original price of $250, but is on sale for $150

if

$250 ⇒ 100%

$150 ⇒x?

the relation is

`(250)/(100)=(150)/(x)\\solve\ for\ x\\(x*250)/(100)=150\\x*250=150*100\\x=(150*100)/(250) \\x=60`

the discount will be

100%-60=40%

the discount is 40%

the second option has a greater change in price 40%