Let's solve each of the
Percents Word Problem Practice questions step by step. I'll go through each one and explain the solution clearly.
---
1. Emily borrowed $300 from the bank. The bank charges 4% simple interest annually. How much interest will Emily owe after 3 years?
Solution:
We use the
simple interest formula:
\[
I = P \times r \times t
\]
Where:
- \( I \) = interest
- \( P \) = principal (initial amount) = $300
- \( r \) = annual interest rate = 4% = 0.04
- \( t \) = time in years = 3
\[
I = 300 \times 0.04 \times 3 = 36
\]
✔ Answer: $36
---
2. Daniel buys a new video game for $48. The sales tax rate is 7%. How much does Daniel pay in total including tax?
Solution:
First, calculate the
sales tax:
\[
\text{Tax} = 48 \times 0.07 = 3.36
\]
Now add tax to original price:
\[
\text{Total} = 48 + 3.36 = 51.36
\]
✔ Answer: $51.36
---
3. Victoria bought a shirt on sale. The original price was $35, but it was marked down 20%. How much did she pay for the shirt?
Solution:
Calculate the
discount amount:
\[
\text{Discount} = 35 \times 0.20 = 7
\]
Subtract discount from original price:
\[
\text{Sale Price} = 35 - 7 = 28
\]
✔ Answer: $28
---
4. Jackson works at a restaurant and earns a 10% commission on total sales. He sells $200 worth of meals in one day. How much commission does he earn?
Solution:
\[
\text{Commission} = 200 \times 0.10 = 20
\]
✔ Answer: $20
---
5. Spencer is selling tickets for the school fair. There is a $2 service fee per ticket. If he sells 25 tickets, how much will the total service fees be?
Solution:
This is not a percent problem, but a simple multiplication.
\[
\text{Total Service Fees} = 25 \times 2 = 50
\]
✔ Answer: $50
---
6. Jenna bought a pair for $45 and later sold it for $60. What was the percent increase in the price of the shirt?
Solution:
Use the
percent increase formula:
\[
\text{Percent Increase} = \left( \frac{\text{New} - \text{Original}}{\text{Original}} \right) \times 100
\]
\[
= \left( \frac{60 - 45}{45} \right) \times 100 = \left( \frac{15}{45} \right) \times 100 = 0.333... \times 100 = 33.\overline{3}\%
\]
Rounded to the nearest tenth:
33.3%
✔ Answer: 33.3%
---
✔ Final Answers:
1.
$36
2.
$51.36
3.
$28
4.
$20
5.
$50
6.
33.3%
Let me know if you'd like these problems turned into a printable worksheet or need explanations in a different format!
Parent Tip: Review the logic above to help your child master the concept of word problems for 7th grade math worksheet.
