# Pre-Algebra

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Mistu purchased a basketball hoop for her driveway from a sporting goods store. After the sales tax rate of 5.5% was applied, the total cost came to \$179.35.How much money would Mistu have saved if she had used a coupon good for 10% discount?

• Pre-Algebra -

x = orig cost without tax
0.055x = orig cost with tax
x + 0.055x = \$179.35
1.055x = 179.35
x = 170.00 orig cost

170.00 - 170.00(0.10) = new cost with coupon without tax

170.00 - 17.00 = 153.00 new cost no tax
153.00 (0.055)tax = 8.42 tax
153.00 + 8.42 = 161.42 new total cost

179.35 - 161.42 = 17.93 savings

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