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2014 AMC 12A Question 8

AMC12 · 2014 AMC 12A

Question 8

A customer who intends to purchase an appliance has three coupons, only one of which may be used:

Coupon $1:$ $10\%$ off the listed price if the listed price is at least $\$50$

Coupon $2:$ $\$20$ off the listed price if the listed price is at least $\$100$

Coupon $3:$ $18\%$ off the amount by which the listed price exceeds $\$100$

For which of the following listed prices will coupon $1$ offer a greater price reduction than either coupon $2$ or coupon $3?$
  1. $\$179.95$
  2. $\$199.95$
  3. $\$219.95$
  4. $\$239.95$
  5. $\$259.95$