Question

A sign says that the price marked on all music equipment is at a discount for 30% off. You buy an electric guitar for the same price of $315.

{Im only in 7th grade.}
What is the percent you pay? _____________
Write an equation to find the regular price of the item. __________________
What was the regular price? ____________

Answer 1

The percent paid after a 30% discount is 70% of the regular price. The equation to find the regular price is 0.70 * P = $315. Solving this gives us the regular price of the electric guitar, which is $450.

Step-by-step explanation:

If a sign says that the price marked on all music equipment is at a discount for 30% off, and you buy an electric guitar for $315, we need to figure out the percent you actually pay and the regular price of the guitar.

Since the discount is 30%, you pay 100% - 30% = 70% of the regular price.

Let's call the regular price 'P'. The equation to find the regular price of the item after a 30% discount is:

0.70 * P = $315

To find the regular price 'P', we divide both sides of the equation by 0.70:

P = $315 / 0.70

P = $450

The regular price of the electric guitar before the discount was $450.

Answer 2

Hi there!

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.

How to solve it:

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.