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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

1 answer

To determine how much money Sierra has to save, let's first calculate the sale price of the bike.

  1. Calculate the discount:
    The original price of the bike is $200, and it is on sale for 40% off.
    Discount = 40% of $200 = 0.40 * $200 = $80.

  2. Calculate the sale price:
    Sale price = Original price - Discount = $200 - $80 = $120.

  3. Calculate how much her parents will pay:
    Her parents agree to pay $75.

  4. Calculate how much Sierra needs to pay:
    Amount Sierra needs to pay = Sale price - Amount parents will pay = $120 - $75 = $45.

Therefore, the amount of money Sierra will have to save is $45, which corresponds to option A.