Melissa has two coupons for a bicycle.
Coupon A: $20 \%$ off of a $\$ 106$ bicycle
Coupon B: $\$ 18$ rebate on a $\$ 106$ bicycle
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon $A$ is $\$ \square$ less than the price with coupon $B$.
Coupon $\mathrm{B}$ gives the lower price.
The price with coupon B is $\$$ less than the price with coupon A.
Answer
So, the price with coupon A is $3.2 less than the price with coupon B. The final answer is \(\boxed{3.2}\).
Step 1 ：Calculate the price of the bicycle after applying Coupon A. Coupon A offers a 20% discount on the bicycle. So, we need to calculate 20% of $106. The calculation is \(0.20 * 106 = 21.2\).
Step 2 ：The price of the bicycle after applying Coupon A is \(106 - 21.2 = 84.8\).
Step 3 ：Calculate the price of the bicycle after applying Coupon B. Coupon B offers a $18 rebate on the bicycle. So, the price of the bicycle after applying Coupon B is \(106 - 18 = 88\).
Step 4 ：Compare the prices after applying each coupon. The price with Coupon A is \(84.8\) and the price with Coupon B is \(88\).
Step 5 ：Coupon A gives the lower price because \(84.8 < 88\).
Step 6 ：Calculate how much less the price with Coupon A is than the price with Coupon B. The calculation is \(88 - 84.8 = 3.2\).
Step 7 ：So, the price with coupon A is $3.2 less than the price with coupon B. The final answer is \(\boxed{3.2}\).
