Question

Two garages, Quick Lube and Grease Release, are offering specials on oil changes. Quick Lube has a coupon offering 25% off then an additional 10% off at the register, while Grease Release has a coupon offering 35% off at the register. Both places charge a regular price of $99.99 for an oil change. Which garage offers the better deal?

A. Quick Lube
B. Grease Release
C. Both offer the same deal
D. Cannot be determined

Answer 1

After calculating the discounts, Quick Lube's final price is $67.49325 and Grease Release offers a final price of $64.9935. Hence, Grease Release provides the better deal for the oil change.

Step-by-step explanation:

To determine which garage offers the better deal on an oil change, we need to calculate the final price at each garage with their respective discounts. The regular price for an oil change at both garages is $99.99.

Quick Lube: They offer a 25% discount first, followed by an additional 10% off.

• First discount: $99.99 \(\times\) 0.25 = $24.9975
• Price after first discount: $99.99 - $24.9975 = $74.9925
• Second discount on the reduced price: $74.9925 \(\times\) 0.10 = $7.49925
• Final price at Quick Lube: $74.9925 - $7.49925 = $67.49325

Grease Release: They offer a 35% discount at the register.

• Discount: $99.99 \(\times\) 0.35 = $34.9965
• Final price at Grease Release: $99.99 - $34.9965 = $64.9935

Comparing the final prices, Grease Release offers the better deal at \$64.9935 compared to Quick Lube's \$67.49325.