Question

1. what is the percent decrease?

a. original quantity: 100 new quantity: 88
amount of decrease:
□ - □ = □
percent decrease:
□ ÷ □
= □
= □ % decrease

b. original quantity: 20 new quantity: 8

c. original quantity: 50 new quantity: 38

Explanation:

Step1: Calculate the amount of decrease

The formula for the amount of decrease is \( \text{Original Quantity}-\text{New Quantity} \).
For part a: \( 100 - 88=12 \)

Step2: Calculate the percent decrease

The formula for percent decrease is \( \frac{\text{Amount of Decrease}}{\text{Original Quantity}}\times100\% \).
For part a: \( \frac{12}{100}=0.12 \), and \( 0.12\times100\% = 12\% \)

For part b:

Step1: Calculate the amount of decrease

\( 20 - 8=12 \)

Step2: Calculate the percent decrease

\( \frac{12}{20}=0.6 \), \( 0.6\times 100\%=60\% \)

For part c:

Step1: Calculate the amount of decrease

\( 50 - 38 = 12 \)

Step2: Calculate the percent decrease

\( \frac{12}{50}=0.24 \), \( 0.24\times100\%=24\% \)

Answer:

a. Amount of decrease: \( 100-88 = 12 \); Percent decrease: \( 12\div100=0.12 = 12\% \)
b. Amount of decrease: \( 20 - 8=12 \); Percent decrease: \( 12\div20 = 0.6=60\% \)
c. Amount of decrease: \( 50-38 = 12 \); Percent decrease: \( 12\div50=0.24 = 24\% \)