7.9: Save More
Look at the signs for the toothpaste below. How much would it cost to buy 2 tubes of toothpaste at each store? What if you use the coupon? Which store has the better buy? How much less is the cost at that store? In this concept, we will learn how to compare prices at stores when we have a coupon to use.
Guidance
In order to figure out which item is the better buy, like in the question above, we can use the problem solving steps to help.
- Start by describing what you see the pictures.
- Next, figure out what your job is in this problem. In all of these problems your job will be to figure out which item is the better buy and by how much.
- Then, make a plan for how you will solve. In these problems, you will want to figure out the original cost for the number of items you want to buy at each store. Then, calculate how much you will pay after using the coupon. Finally, figure out which store has the better buy and by how much.
- Next, solve the problem.
- Finally, check to make sure that all your calculations are correct.
Example A
Buy 1 comb. Use the coupon. Which store has the better buy? How much less is the cost at that store?
Solution:
We can use problem solving steps to help.
Step | Description |
---|---|
Describe: | Two store signs show the cost for combs. The coupon gives 10% off the price. |
My Job: | Figure out the store that has the better buy for 1 comb after using the coupon. Then figure out the difference in cost. |
Solve: | ABC's: 5 combs are $15 so each comb is $3. Gem's: 6 combs are $12 so each comb is $2. Using the coupon at ABC's, 10% off means the cost after the coupon is 90% of $3.00, or 0.9 × 3 = $2.70. Using the coupon at Gem's, 10% off means the price after the coupon is 90% of $2.00 or 0.9 × 2 = $1.80. $2.70 − $1.80 = $0.90 The cost is $0.90 less at Gem's. |
Check: |
At ABC's 1 comb is $3.00 and 10% off of $3.00 is $0.30. The cost after using the coupon is ($3.00 - $0.30), or $2.70. At Gem's 1 comb is $2.00 and 10% off of $2.00 is $0.20. The cost after using the coupon is ($2.00 - $0.20), or $1.80. $2.70 − $1.80 = $0.90. |
Example B
Buy 4 boxes of band aids. Use the coupon. Which store has the better buy? How much less is the cost at that store?
Solution:
We can use problem solving steps to help.
Example C
Buy 2 boxes of tissue. Use the coupon. Which store has the better buy? How much less is the cost at that store?
Solution:
We can use problem solving steps to help.
Concept Problem Revisited
We can use problem solving steps to help.
Vocabulary
A discount is a savings on an item because of a sale or a coupon. In this concept, we used coupons that had discounts in the form of percents of. Percent means parts per 100. The symbol for percent is %. For example, 30% means 30 out of every 100. So, 30% of 100 would be 30. 30% of 50 would be 15. When working with percents, it is often helpful to convert them to decimals when doing calculations, as we did in this concept.
Guided Practice
1. Buy 2 toothbrushes. Use the coupon. Which store has the better buy? How much less is the cost at that store?
2. Buy 4 bars of soap. Use the coupon. Which store has the better buy? How much less is the cost at that store?
3. Buy 4 bottles of shampoo. Use the coupon. Which store has the better buy? How much less is the cost at that store?
Answers:
1. Gems; $0.25 less.
- ABC's: 1 toothbrush is or $1.75, so 2 toothbrushes are $3.50. With the coupon they are , or $1.75.
- Gem's: 2 toothbrushes is half of $6.00, or $3.00. With the coupon they are , or $1.50.
- $1.75-$1.50=$0.25
2. ABC's: $0.28 less.
- ABC's: 4 bars of soap are of $7.20, or $3.60. With the coupon, they are , or $2.52.
- Gem's: 10 bars for $10 is $1 for one bar and $4 for 4 bars. With the coupon they are or $2.80.
- $2.80-$2.52=$0.28
3. Gem's: $0.24 less.
- ABC's: One bottle is or $2.50, so 4 bottles is or $10. With the coupon, the bottles are or $6.00.
- Gem's: One bottle is or $2.40, so 4 bottles is or $9.60. With the coupon, the bottles are , or $5.76.
- $6.00-$5.76=$0.24
Explore More
1. Buy 2 birdies. Use the coupon. Which store has the better buy? How much less is the cost at that store?
2. Buy 5 water bottles with straws. Use the coupon. Which store has the better buy? How much less is the cost at that store?
3. Buy 2 mugs. Use the coupon. Which store has the better buy? How much less is the cost at that store?
4. Buy 4 boxes of paperclips. Use the coupon. Which store has the better buy? How much less is the cost at that store?
5. Buy 3 notebooks. Use the coupon. Which store has the better buy? How much less is the cost at that store?
Image Attributions
Description
Learning Objectives
Students are presented with prices of sets of items at two different stores, and a coupon that can be applied to the purchase at both stores. Students figure out the costs of the items at each store, apply the coupon in order to determine the discounted cost, and compare those costs to figure out the savings. Students use problem solving steps to help.