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Multiple Choice 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

1 answer

To determine how much money Sierra will have to save, we first need to find out how much the bike costs after the 40% discount.

  1. Calculate the amount of discount: \[ \text{Discount} = 40% \text{ of } 200 = 0.40 \times 200 = 80 \]

  2. Calculate the sale price of the bike: \[ \text{Sale price} = \text{Original price} - \text{Discount} = 200 - 80 = 120 \]

  3. Now, her parents will cover $75 of the sale price. We need to calculate how much Sierra has to pay: \[ \text{Amount Sierra has to pay} = \text{Sale price} - \text{Parents' contribution} = 120 - 75 = 45 \]

Therefore, Sierra will need to save $45.

The answer is: A. $45