A $72 item is 25% off
- Savings = 0.25 × 72 = $18.
- Sale price = 72 − 18 = $54.
- Check: 0.75 × 72 = $54.
Separate the money saved from the money paid.
For a regular price P and discount d%, savings = P × d/100. Sale price = P − savings. An equivalent method is sale price = P × (1 − d/100). The multiplier represents the share of the original price you still pay.
Predict first. Change one value, then explain what stays the same and what changes. All bars use the same scale within a model.
Check whether a coupon applies to one item, selected items, or the basket total. A $5 coupon removes a fixed dollar amount; a 5% coupon removes a share of the eligible price. Minimum purchases and limits affect which coupon is better. A price floor at zero means an unused discount is not automatically cash back.
Record original price, savings and sale price separately. If the discount is 25%, you still pay 75%. Half off should halve a price; a small discount should not reduce it nearly to zero. Follow the stated rounding convention and keep each coupon step visible.
A $45 item has 20% off. Find both the saving and sale price.
You pay 80% of the original price.
Savings = 0.20 × 45 = $9. Sale price = $36.
Work through eight questions. Two independent correct answers introduce a harder version; supported answers bring the next question back to the foundation. You can use hints at any time.
This round saves on this device. It is practice, not a school mark.
At what eligible price does a $6 coupon save the same amount as a 15% coupon? Explain which is better above and below that price.
Record the whole, the percent multiplier and the result with units. For each coupon, use the eligible amount at that step. State whether a resale percentage means percent of cost or markup on cost.