2/5 of Joe's savings is equal to 1/4 of Charlie's savings. Express Charlie's savings as a fraction of the total savings of the two boys.

Answer 1

J = Joe's savings

C = Charlie's savings

2/5 of Joe's savings is equal to 1/4 of Charlie's savings means:

2 J / 5 = C / 4

Cross multiply

8 J = 5 C

Divide bith sides by 8

J = 5 C / 8

The total savings of the two boys:

J + C = 5 C / 8 + C =

5 C / 8 + 8 C / 8 = 13 C / 8

Charlie's savings as a fraction of the total savings of the two boys:

C / (J + C) = C / ( 13 C / 8 ) =

8 C / 13 C = 8 / 13