anonymous
  • anonymous
Mark and Hayden won a raffle and decided to split the prize money using the ratio 9:8. if Hayden received $64, which of the following was the total amount of money that Mark and Hayden won? 1. $72 2. $80 3. $136 4. $170
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
Mind helping again?:)
whpalmer4
  • whpalmer4
Sure, one more and then I have to do some other stuff away from the computer...

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whpalmer4
  • whpalmer4
Okay, this is sort of like working the last problem in the other direction.
anonymous
  • anonymous
I feel the answer is 72
whpalmer4
  • whpalmer4
Mark gets 9 and Hayden gets 8 out of each "batch". But how many batches are there? If we can figure that out, we can figure out how much the total was, and how much Mark won (not required by the problem).
whpalmer4
  • whpalmer4
Well, you have fallen into the dastardly trap set for you :-)
whpalmer4
  • whpalmer4
Let's think about this for a second. Hayden got $64. Mark gets a bit more than Hayden (9:8 ratio), and you think that $72 is going to be the total they won? The problem asks " was the total amount of money that Mark and Hayden won? " Here's a tip: whenever you think you have an answer, re-read the problem and ask yourself, "am I answering the question in the problem, or did I answer something else?"
anonymous
  • anonymous
Sorry i read the question wrong I am thinking it would be 136 because 136-64 = 72 which is a bit more than Hayden got.
whpalmer4
  • whpalmer4
Well, if the money gets split 9:8, each "batch" of money is 17 dollars. We also know that Hayden got 64 dollars, and his share of each "batch" is 8 dollars. From that, we can figure out that there must be 64/8 = 8 batches, right? And Mark is getting 9*8 = 72 dollars.
whpalmer4
  • whpalmer4
The answer we are looking for is 136 dollars for the total that they received. We could also find the amount that Mark received (and then get the answer sought by the problem author) by using the ratio. Mark gets 9:8 of the money Hayden gets. We can write a ratio \(a:b\) as \(\dfrac{a}{b}\), so \[Mark = \frac{9}{8} Hayden\] \[Mark = \frac{9}{8}*64 = 72\] and again, total won = Mark + Hayden = 72+64 = 136 as you found.
anonymous
  • anonymous
Thank u :) you are awesome
whpalmer4
  • whpalmer4
Glad I could help! Another tip: if you really want to nail something down in your understanding, try explaining it to someone else.
anonymous
  • anonymous
Ill keep that in mind thank you :)

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