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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

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*}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*} 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*}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*}

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\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*}

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Feb 23, 2012
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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.7.19