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Chapter 8   

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Bike Buys
solution

Amber bought a helmet for $40.
Ike bought gloves and front lights for a total of $40.50.
Tiffany bought front lights and a saddlebag for $46.50.

explanation

Step 1
Find the sale price of each item.

Item Original Price Percent Discount Discount Amount Sale Price
Helmet $50.00 20% $10.00 $40.00
Biking gloves $20.00 10% $2.00 $18.00
Front lights $25.00 10% $2.50 $22.50
Rear saddlebags $30.00 20% $6.00 $24.00

Step 2
Guess and Check

Amber's one item cost about the same amount as the two items that Ike bought. Amber probably bought the most expensive item—the helmet, for $40.00.

If Amber bought the helmet and Ike spent $0.50 more than she did, Ike's two items must have cost $40.50.

One of Ike's items must have been the front lights, since the lights are the only item whose price includes $0.50.

To find the other item Ike bought, subtract the cost of the lights, $22.50, from the total amount he spent, $40.50.
              $40.50
              –22.50
              $18.00

Ike's second item must have been biking gloves.

Since Tiffany got $3.50 back from $50.00, her two items cost a total of $46.50. She must have bought front lights, since they are the only item in which the price includes $0.50.

To find the other item Tiffany bought, subtract the cost of the lights, $22.50, from the total amount that she spent, $46.50.
              $46.50
              –22.50
              $24.00

Tiffany's second item must have been the rear saddlebag.

Step 3
Find the cost of each purchase.

Name Items and Cost of Each Total
Amber Helmet for $40 $40.00
Ike Biking gloves for $18.00
Front lights for $22.50
$40.50
Tiffany Front lights for $22.50
Rear saddlebags for $24.00
$46.50

 


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