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Extra for Experts – Save More - Reason Proportionally with Percents

Buy 2 toothbrushes. Use the coupon. Which store has the better buy? How much less is the cost at that store?

Buy 4 bars of soap. Use the coupon. Which store has the better buy? How much less is the cost at that store?

Buy 4 bottles of shampoo. Use the coupon. Which store has the better buy? How much less is the cost at that store?

Solutions

1. \quad \text{Gem’s;} \ \$0.25 \ \text{less}\!\\{\;} \quad \ \text{ABC’s:} \ 1 \ \text{toothbrush is} \ \$5.25 \div 3, \ \text{or} \ \$1.75, \ \text{so} \ 2 \ \text{toothbrushes are} \ \$3.50\!\\{\;} \quad \ \text{With the coupon, they are} \ 0.5 \times \$3.50, \ \text{or} \ \$1.75\!\\{\;} \quad \ \text{Gem’s:} \ 2 \ \text{toothbrushes is half of} \ \$6.00, \ \text{or} \ \$3.00\!\\{\;} \quad \ \text{With the coupon they are} \ 0.5 \times \$3.00, \ \text{or} \ \$1.50\!\\{\;} \quad \ \$1.75 - \$1.50 = \$0.25

2. \quad \text{ABC’s;} \ \$0.28 \ \text{less}\!\\{\;} \quad \ \text{ABC’s:} \ 4 \ \text{bars of soap are} \ \frac{1}{2} \ \text{of} \ \$7.20, \ \text{or} \ \$3.60\!\\{\;} \quad \ \text{With the coupon, they are} \ 0.7 \times \$3.60, \ \text{or} \ \$2.52\!\\{\;} \quad \ \text{Gem’s:} \ 10 \ \text{bars for} \ \$10 \ \text{is} \ \$1 \ \text{for one bar and} \ \$4 \ \text{for} \ 4 \ \text{bars}\!\\{\;} \quad \ \text{With the coupon they are} \ 0.7 \times \$4.00, \ \text{or} \ \$2.80\!\\{\;} \quad \ \$2.80 - \$2.52 = \$0.28

3. \quad \text{Gem’s;} \ \$0.24 \ \text{less}\!\\{\;} \quad \ \text{ABC’s: One bottle is} \ \$12.50 \div 5, \ \text{or} \ \$2.50, \ \text{so} \ 4 \ \text{bottles is} \ 4 \times \$2.50, \ \text{or} \ \$10\!\\ {\;} \quad \ \text{With the coupon, the bottles are} \ 0.6 \times \$10, \ \text{or} \ \$6.00\!\\{\;} \quad \ \text{Gem’s: One bottle is} \ \$14.40 \div 6, \ \text{or} \ \$2.40, \ \text{so} \ 4 \ \text{bottles} \ 4 \times \$2.40, \ \text{or} \ \$9.60\!\\{\;} \quad \ \text{With the coupon, the bottles are} \ 0.6 \times \$9.60, \ \text{or} \ \$5.76\!\\{\;} \quad \ \$6.00 - \$5.76 = \$0.24

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