Amount of Money

[Guest]

2/5 of A's money is equal to 2/3 of B's money. The sum of A and B's money is $48. Calculate money amount of A and B.

2/5 of A's = 2/3 of B's.

Unsure from here.

[Guest]

Please reply. Thanks.

[Guest]

We know that
[tex]2/5 * A = 2/3 * B[/tex]

[tex]A = \frac23B \div \frac25 = \frac53B[/tex]

[tex]A + B = 48[/tex]
[tex]\frac53B+B = 48[/tex]
[tex]\frac83B=48[/tex]
[tex]B=48\frac38[/tex]
[tex]B=18[/tex]

[tex]A = 48 - 18 = 30[/tex]

[Guest]

Thanks.