Question

A store is having a sale in which all bookbags are discounted by `30\%`. Mai has a coupon for `\$5` off the regular price of one bookbag. The store first applies this coupon, and then takes `30\%` off the reduced price. Mai pays `\$23.10` for the bookbag.
You said the equation represents this scenario, and the solution to your equation was `\$35.56`.



Explain what the solution to the equation means within the context of the problem.

Answer 1

The regular price of the book bag was $38.

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the regular price of the bag. After applying the coupon:

Price = x - 5

After the discount:

23.10 = (x - 5) -  30% of (x - 5)

23.10 = (x - 5) - (0.3x  - 1.5)

0.7x - 3.5 = 23.10

x = 38

The regular price of the book bag was $38.

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