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In a sale Tommy bought a kettle and a toaster. He paid a total of $105. The amount paid for the kettle is 2/5 the cost of the toaster. The total price before the discount should have been $133. The toaster was reduced by 20%. How much was the kettle reduced by?

 

Call the original prices K , T

 

K + T =   105

 

(2/5)T + T  =105

 

(7/5)T  = 105

 

T = 105 * 5   / 7  =    $75

 

So

 

K  = 133 -  75  =  $58

 

But with the discount the toaster now costs  75 (.80)  = $60

 

So  ......the kettle's new cost must be  105 -  60 =   $45

 

So.....the discount on the  toaster  =   1  - 45  / 58   ≈ .224 ≈  22.4%

 

 

cool cool cool

 Apr 17, 2022

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