Zayne is purchasing a new baseball bat and a baseball glove. He is able to choose one of three discounts for each item:
Discount 1:
off the price of any item over $150.
Discount 2: $50 Rebate on any item.
Discount 3: Coupon for 30% off the price of any item.
For each item (the bat and glove), indicate which discount offers the lowest discounted (final) price.
Select the correct answer in each row.
Discount 1
Discount 2
Discount 3
Baseball Bat - $180
Baseball Glove - $65
Discount 3
Discount 2
To determine which discount offers the lowest discounted price for each item, let's calculate the final price for each discount option for the baseball bat and the baseball glove.
For the baseball bat:
1. Discount 1: Since the price of the baseball bat is $180, the discount of 1% off the price over $150 doesn't apply.
2. Discount 2: The $50 rebate can be applied, so the final price would be $180 - $50 = $130.
3. Discount 3: The coupon for 30% off can be applied, so the final price would be $180 - (30% of $180) = $180 - $54 = $126.
For the baseball glove:
1. Discount 1: The discount of 1% off the price over $150 doesn't apply as the price of the baseball glove is $65.
2. Discount 2: The $50 rebate can be applied, so the final price would be $65 - $50 = $15.
3. Discount 3: The coupon for 30% off can be applied, so the final price would be $65 - (30% of $65) = $65 - $19.50 = $45.50.
Based on these calculations, the answers are as follows:
Baseball Bat - Discount 3 offers the lowest discounted price ($126).
Baseball Glove - Discount 2 offers the lowest discounted price ($15).
To determine which discount offers the lowest discounted price for each item, we need to compare the final prices with each of the three discounts.
For the baseball bat:
Discount 1: 20% off the price of $180 (20% x $180 = $36). Final price = $180 - $36 = $144.
Discount 2: $50 rebate. Final price = $180 - $50 = $130.
Discount 3: 30% off the price of $180 (30% x $180 = $54). Final price = $180 - $54 = $126.
For the baseball glove:
Discount 1: There is no need to consider discount 1 for the baseball glove since its price is below $150.
Discount 2: $50 rebate. Final price = $65 - $50 = $15.
Discount 3: 30% off the price of $65 (30% x $65 = $19.50). Final price = $65 - $19.50 = $45.50.
So, the final prices with each discount for the baseball bat are:
Discount 1: $144
Discount 2: $130
Discount 3: $126
And the final prices with each discount for the baseball glove are:
Discount 2: $15
Discount 3: $45.50
Therefore, the discounts that offer the lowest final prices for each item are:
Baseball Bat: Discount 3
Baseball Glove: Discount 2