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2014 AMC 10A Question 11

AMC10 · 2014 AMC 10A

Question 11

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. $\$ 259.95$