Question
Sierra wants to buy a new bike. The bike she likes is on sale for 40% off its original price. Her parents agree to pay for $75 of the cost. If the original cost of the bike is $200, how much money will Sierra have to save herself? (No sales tax is charged.)
A.
$45
B.
$80
C.
$75
D.
$125
A.
$45
B.
$80
C.
$75
D.
$125
Answers
GPT-4o mini
First, we need to determine the sale price of the bike after applying the 40% discount on the original price of $200.
1. Calculate the amount of the discount:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 200 \times 0.40 = 80
\]
2. Subtract the discount from the original price to find the sale price:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 200 - 80 = 120
\]
Now, we know that the sale price of the bike is $120. Sierra's parents are contributing $75 toward the purchase.
3. Subtract the amount her parents are contributing from the sale price to find out how much Sierra needs to pay:
\[
\text{Amount Sierra needs to pay} = \text{Sale Price} - \text{Parents' Contribution} = 120 - 75 = 45
\]
Thus, the amount of money Sierra will have to save is **$45**.
The answer is A. $45.
1. Calculate the amount of the discount:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 200 \times 0.40 = 80
\]
2. Subtract the discount from the original price to find the sale price:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 200 - 80 = 120
\]
Now, we know that the sale price of the bike is $120. Sierra's parents are contributing $75 toward the purchase.
3. Subtract the amount her parents are contributing from the sale price to find out how much Sierra needs to pay:
\[
\text{Amount Sierra needs to pay} = \text{Sale Price} - \text{Parents' Contribution} = 120 - 75 = 45
\]
Thus, the amount of money Sierra will have to save is **$45**.
The answer is A. $45.