Question

question 1
the cost of a backpack decreases from $60 to $48.
what is the percent decrease?
20%
12%
24%
28%
question 2
a jacket is discounted 30% and the sale price is $84.
the original price was $______.

Explanation:

Question 1

Step1: Find the amount of decrease

The original price is $60 and the new price is $48. The decrease amount is $60 - $48 = $12.

Step2: Calculate the percent decrease

The formula for percent decrease is $\frac{\text{Decrease Amount}}{\text{Original Amount}} \times 100\%$. Substituting the values, we get $\frac{12}{60} \times 100\% = 0.2 \times 100\% = 20\%$.

Step1: Let the original price be $x$

If the jacket is discounted 30%, then the sale price is (100% - 30%) = 70% of the original price. So, the sale price is $0.7x$.

Step2: Solve for $x$

We know the sale price is $84, so $0.7x = 84$. Dividing both sides by 0.7, we get $x = \frac{84}{0.7} = 120$.

Answer:

A. 20%

Question 2