57.5k views
3 votes
Eliza cannot decide which of two bicycles to buythe original price of each is $380the first is marked down by 50%the second is marked down by 30% with an additional 20% offwhich bicycle should eliza uy if the bicycles are the same except for the selling price? explain our answer.

User Jfrey
by
8.0k points

1 Answer

6 votes

Final answer:

After calculating the discounts, the first bicycle's final price is $190, while the second bicycle after successive discounts comes to $212.80. Therefore, Eliza should opt for the first bicycle as it offers a lower price.

Step-by-step explanation:

To determine which bicycle Eliza should buy, we need to calculate the final selling price of each option. The first bicycle is marked down by 50%, so the sale price is 50% of $380: 0.50 x $380 = $190.

The second bicycle is marked down by 30%, resulting in a price of 0.70 x $380 = $266. However, there's an additional 20% discount on the reduced price. To calculate the final price after the additional discount, we take 20% off of the already discounted price: 0.20 x $266 = $53.20. Subtracting this additional discount from $266, we get: $266 - $53.20 = $212.80.

Comparing the final selling prices, the first bicycle at $190 is cheaper than the second bicycle at $212.80. Therefore, Eliza should buy the first bicycle to get the lower price.

User Michael Kemmerzell
by
8.3k points