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7.19: Save More Extras

Difficulty Level: At Grade Created by: CK-12

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

\begin{align*}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\end{align*}1.Gem's; $0.25 less ABC's: 1 toothbrush is $5.25÷3, or $1.75, so 2 toothbrushes are $3.50 With the coupon, they are 0.5×$3.50, or $1.75 Gem's: 2 toothbrushes is half of $6.00, or $3.00 With the coupon they are 0.5×$3.00, or $1.50 $1.75$1.50=$0.25

\begin{align*}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\end{align*}2.ABC's; $0.28 less ABC's: 4 bars of soap are 12 of $7.20, or $3.60 With the coupon, they are 0.7×$3.60, or $2.52 Gem's: 10 bars for $10 is $1 for one bar and $4 for 4 bars With the coupon they are 0.7×$4.00, or $2.80 $2.80$2.52=$0.28

\begin{align*}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\end{align*}3.Gem's; $0.24 less ABC's: One bottle is $12.50÷5, or $2.50, so 4 bottles is 4×$2.50, or $10 With the coupon, the bottles are 0.6×$10, or $6.00 Gem's: One bottle is $14.40÷6, or $2.40, so 4 bottles 4×$2.40, or $9.60 With the coupon, the bottles are 0.6×$9.60, or $5.76 $6.00$5.76=$0.24

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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.7.19