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.