SOLUTION: If 1/3 of Emily's money is equal to 2/5 of Katie's money, and Katie has $24.50 less than Emily, how much money do the the two sisters have together?

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Question 1001934: If 1/3 of Emily's money is equal to 2/5 of Katie's money, and Katie has $24.50 less than Emily, how much money do the the two sisters have together?

Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
e = emily's money.
k = katie's money

you get:

1/3 * e = 2/5 * k

you know that k = 24.5

you get:

1/3 * e = 2/5 * 24.5

solve for e to get:

e = 6/5 * 24.5

the sum of their money is e + k

since k = 24.5 and e = 6/5 * 24.5, then the sum of their money is 6/5 * 24.5 + 24.5

simplify to get the sum of their money is 29.4 + 24.5

simplify further to get the sum of their money is 53.9

emily has 29.4
katy has 24.5

you are given that:

1/3 * 29.4 = 2/5 * 24.5

simplify to get:

9.8 = 9,8

all requirements of the problem are satisfied.

the solution is that the two sisters have $53.90 together.

Answer by MathTherapy(10556) (Show Source):
You can put this solution on YOUR website!

If 1/3 of Emily's money is equal to 2/5 of Katie's money, and Katie has $24.50 less than Emily, how much money do the the two sisters have together?

Amount Emily has: $147
Amount Katie has: $147 - 24.50, or $122.50
Amount both have: $147 + 122.50, or