SOLUTION: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 31391: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
tara x%2Fy
joe %28x+-+y%29+%2F+y
lynn %282%2F3%29%2A%28x%2Fy%29
they pool their money
x%2Fy+%2B+%28x+-+y%29+%2F+y+%2B+%282%2F3%29%2A%28x%2Fy%29
If I put the 2/3 in the numerator of the
last term, my common denominator is y
%28x+%2B+x+-+y+%2B+%282%2F3%29%2Ax%29+%2F+y
%282%2Ax+%2B+%282%2F3%29%2Ax+-+y%29+%2F+y
%28%288%2F3%29%2Ax+-+y%29+%2F+y
divide through by y
%288%2F3%29%2Ax+%2F+y+-+1
One way to check this is to plug in numbers
let x = 6
let y = 3
x has to be bigger than y so joe doesn't lose money
and y can't be 0. division by 0 not allowed
tara = 2
joe = 1
lynn = 4/3
add them up
2 + 1 + 4/3 = 13/3
now use %288%2F3%29%2Ax+%2F+y+-+1
%288%2F3%29%2A6+%2F+3+-+1
2%2A8%2F3+-+1
16%2Fs+-+3%2F3
13%2F3
checks OK