Posted by **Amy~** on Sunday, September 5, 2010 at 10:48am.

there is $175,000 to award. If the money is awarded to 4 students in a ratio of 1 to 2 to 3 to 4, how much will the largest award be?

How would I solve this ?

- Math -
**Reiny**, Sunday, September 5, 2010 at 10:52am
solve for x

x + 2x + 3x + 4x = 175 000

then evaluate 4x

- Math -
**Amy~**, Sunday, September 5, 2010 at 11:24am
could you explain why you put it into that equation?

- Math -
**Reiny**, Sunday, September 5, 2010 at 11:33am
I split the parts into the given ratios of

1 : 2 : 3 : 4 or

x : 2x : 3x : 4x

remember that ratios can be reduced to "lowest terms" by dividing each value by the same number, a common factor.

In the same way I can build up a ratio by myltiplying each term by the same value

e.g.

1:2:3:4

= 5:10:15:20

= 100:200:300:400

or in an infinite number of way.

So I chose x as my multiplier

then the 4 parts must add up to 175 000

x+2x+3x+4x = 175000

10x = 175000

x = 17 500

then 2x = 35 000

3x = 52 500

4x = 70 000

notice that

17500 : 35000:52500:70000

= 175:350:525:700

= 1:2:3:4 and their sum is 175000

- Math -
**Amy~**, Sunday, September 5, 2010 at 11:52am
ok

thank you

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