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a bicycle shop sells new bikes and repairs old bikes. When they first opened, the ratio in which they sold bikes to repair bikes was 15:3. Now, they found that their market has changed, and they are selling 7 new bikes to every 11 bike repairs. If they sold 225 bikes when they opened, how many bikes do they repair now?

AdventurousIy  Oct 30, 2017
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 #1
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okay 7:11 is the new rate which they sell and repair bikes.

 

we know that they will sell 225 in the future. so we have to think how they did get ot 225 so quickly. So, we also think that 7 times something is 225 (because it's the future goal). we can figure it out by doing reverse multiplication, which is division---> so,  225/7= 32.14

 

 Now you just do 32.14 x 11 which equals 353.54 bikes repaired.

you can't really repair 353.54 so you round , that leads you to 353 bikes repaired.

 

you're welcome, hope i didn't get anything wrong wink 

Guest Oct 30, 2017
edited by Guest  Oct 30, 2017
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Well... Sadly it was wrong. :( However, thank you for trying. It was actually 165 bikes. :D

AdventurousIy  Oct 31, 2017
 #2
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I'm assuming that the total number repaired and sold now is the same  as  when they first opened

 

Let the total number sold and repaired originally  = N

 

So.....225  is 15/18  =  5/6 of this....so.....

 

(5 / 6 )  N  =  225      multiply  both sides by  6/5

 

N  =  225 (6/5)  =  270

 

 

So......the number repaired now  =   11 / 18 *  270  =  165

 

 

cool cool cool

CPhill  Oct 30, 2017
 #4
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thank you very much!

AdventurousIy  Oct 31, 2017
 #3
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Since the opening ratio was 15:3 or 5:1, it, therefore, follows that they repaired:

225/5 =45 bikes. So, the total sold and repaired at the opening was:

225 + 45 = 270 Bikes. If they sold and repaired the same number of bikes today, then the ratio would be: 11/[11+7] x 270 =165 bikes repaired today.

Guest Oct 30, 2017

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