SOLUTION: The ratio of Devi’s marbles to Eddie’s marbles was 2:5. After Devi gave away 8 marbles and Eddie gave away 40 marbles, the ratio of Devi’s marbles to Eddie marbles became

Question 1184096: The ratio of Devi’s marbles to Eddie’s marbles was 2:5. After Devi
gave away 8 marbles and Eddie gave away 40 marbles, the ratio of
Devi’s marbles to Eddie marbles became 1:2. How many marbles
did Devi have at first?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The ratio of Devi’s marbles to Eddie’s marbles was 2:5.
After Devi gave away 8 marbles and Eddie gave away 40 marbles, the ratio of
Devi’s marbles to Eddie marbles became 1:2.
How many marbles did Devi have at first?
:
let x = the multiplier
then
2x = D's marbles originally
and
5x = E's marbles originally
:
"After Devi gave away 8 marbles and Eddie gave away 40 marbles, the ratio of
Devi’s marbles to Eddie marbles became 1:2. "
=
cancel the second fraction's x's
=
cross multiply
5x - 40 = 2(2x-8)
5x - 40 = 4x - 16
5x - 4x = -16 + 40
x = 24 is the multiplier
therefore
2*24 = 48 marbles D had originally
:
Check solution with substitution in the first equation
=
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