Multiple Choice Question

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

Answer 1

To find out how much money Sierra will have to save, we first need to calculate the sale price of the bike after the 40% discount is applied to the original price.

1. Calculate the amount of the discount:

   • Original price of the bike = $200
   • Discount = 40% of $200 = 0.40 × 200 = $80

2. Calculate the sale price of the bike:

   • Sale price = Original price - Discount = $200 - $80 = $120

3. Determine how much Sierra's parents will pay:

   • Parents' contribution = $75

4. Calculate how much Sierra needs to pay:

   • Sierra's payment = Sale price - Parents' contribution = $120 - $75 = $45

Thus, Sierra will have to save $45.

The correct answer is: A. $45