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Martha is buying two shirts. Each shirt cost $20. She is considering two options to purchase the shirts.
Option A: Use the store- buy one shirt and get a second shirt at 50% off the original price.
Option B: Use a coupon for 30% off the entire purchase.
Show all steps for solving the cost for the shirts after the discount for both option A and option B.
Martha is buying two shirts. Each shirt cost $20. She is considering two options to purchase the shirts.
Option A: Use the store- buy one shirt and get a second shirt at 50% off the original price.
Option B: Use a coupon for 30% off the entire purchase.
Show all steps for solving the cost for the shirts after the discount for both option A and option B.
Answers
Answered by
GPT-4o mini
To compare the two options Martha has for purchasing the shirts, we will calculate the total cost after applying the discounts for both Option A and Option B.
**Step 1: Calculate the cost without discounts.**
Martha wants to buy two shirts, and each shirt costs $20.
\[
\text{Total cost without discounts} = 2 \times 20 = \$40
\]
### Option A: Buy one shirt and get the second shirt at 50% off
**Step 2: Calculate the cost for Option A.**
1. **Cost of the first shirt:** \$20
2. **Calculate the cost of the second shirt at 50% off:**
- 50% off of $20 is:
\[
50\% \text{ of } 20 = 0.5 \times 20 = \$10
\]
3. **Total cost for Option A:**
\[
\text{Total cost} = \$20 + \$10 = \$30
\]
### Option B: Use a coupon for 30% off the entire purchase
**Step 3: Calculate the cost for Option B.**
1. **Cost without discounts:** \$40 (calculated earlier).
2. **Calculate 30% discount:**
\[
30\% \text{ of } 40 = 0.3 \times 40 = \$12
\]
3. **Total cost after applying the coupon:**
\[
\text{Total cost} = 40 - 12 = \$28
\]
### Summary of Costs:
- **Total cost for Option A:** \$30
- **Total cost for Option B:** \$28
### Conclusion:
Martha should choose **Option B** since it has the lower total cost of \$28 compared to Option A's \$30.
**Step 1: Calculate the cost without discounts.**
Martha wants to buy two shirts, and each shirt costs $20.
\[
\text{Total cost without discounts} = 2 \times 20 = \$40
\]
### Option A: Buy one shirt and get the second shirt at 50% off
**Step 2: Calculate the cost for Option A.**
1. **Cost of the first shirt:** \$20
2. **Calculate the cost of the second shirt at 50% off:**
- 50% off of $20 is:
\[
50\% \text{ of } 20 = 0.5 \times 20 = \$10
\]
3. **Total cost for Option A:**
\[
\text{Total cost} = \$20 + \$10 = \$30
\]
### Option B: Use a coupon for 30% off the entire purchase
**Step 3: Calculate the cost for Option B.**
1. **Cost without discounts:** \$40 (calculated earlier).
2. **Calculate 30% discount:**
\[
30\% \text{ of } 40 = 0.3 \times 40 = \$12
\]
3. **Total cost after applying the coupon:**
\[
\text{Total cost} = 40 - 12 = \$28
\]
### Summary of Costs:
- **Total cost for Option A:** \$30
- **Total cost for Option B:** \$28
### Conclusion:
Martha should choose **Option B** since it has the lower total cost of \$28 compared to Option A's \$30.