A total of $450 is divided into equal shares. If Kate receives four shares, Kevin receives three shares, and Anna receives the remaining two shares how much money did Kevin receive?

1 Answer
Oct 29, 2016

Kevin received #$150.00#

Explanation:

Kate #-> 4" shares"#
Kevin #->3" shares"#
Anna#->2" shares"#

Each share is worth the same amount.

Total count of shares is #4+3+2 = 9#

So each share is worth #($450)/9 larr" Keep as a fraction for now"#

Kevin's shares ( 3 of them ) are worth

# ($450)/9xx3" "=" "($450)/(cancel(9)^3)xxcancel(3)^1" "=" "$150.00#
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Sometimes fractions cancel out nicely. So it is usually a good idea to carry them through to the end to see if you can do so.