Question

A sign says that the price on all music equipment is 30% off the original price. you buy an electric guitar for the sale price of $315.

A-what is the original price?
B-How much money did you save off of the original price?
C-What percent of the original price is the sale price?

Answer 1

a. $450

b. $135

c. 70%

Step-by-step:

`(70)/(100) = (315)/(450)` since these two fractions are equal to each other that means the orginal price is $450.

(sale price/original price)x100= % of original price

(315/450)x100=0.7=70%

Answer 2

a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.

b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:

315/x = 70/100

This is because 315 is part of the whole and is 70% of the value of x.

Explanation:

Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.