Question

rob needed to schedule an oil change for his car. rob compared the prices of some local shops and discovered they were offering different discounts.

• shop 1: $50 off the price of an oil change
• shop 2: an instant rebate of $64 with the purchase of an oil change
• shop 3: a coupon for $72 off of the price of an oil change
• shop 4: a discount for \\(\frac{1}{4}\\) off of the price of an oil change

all of the shops were originally charging $160 for an oil change. how much would rob pay at each shop given the deals above? round each answer to the nearest cent.
shop 1:
shop 2:
shop 3:
shop 4:
which shop should rob use for his car if he wants the best deal?
shop 1
shop 2
shop 3
shop 4

Explanation:

Step 1: Shop 1 Calculation

Shop 1 offers $20 off. Original price is $160. So we subtract 20 from 160.
$160 - 20 = 140$

Step 2: Shop 2 Calculation

Shop 2 offers a $10 rebate. So subtract 10 from 160.
$160 - 10 = 150$

Step 3: Shop 3 Calculation

Shop 3 offers $12 off. Subtract 12 from 160.
$160 - 12 = 148$

Step 4: Shop 4 Calculation

Shop 4 offers $\frac{1}{4}$ off. First find $\frac{1}{4}$ of 160: $\frac{1}{4} \times 160 = 40$. Then subtract from 160.
$160 - 40 = 120$

Now, to find the best deal, we compare the amounts: Shop 1: $140, Shop 2: $150, Shop 3: $148, Shop 4: $120. The lowest is Shop 4.

Answer:

Shop 1: $140
Shop 2: $150
Shop 3: $148
Shop 4: $120
Best deal: Shop 4