There were some marbles in Box A and Box B.

Joel took out \( {1 \over 9}\) of the marbles from Box A and put

all of them into Box B. The ratio of the number of

marbles in Box A to the number of the marbles in

Box B became 4 : 7. There were then 42 more

marbles in Box B than in Box A. How many

marbles were there in Box B at first?

Guest Oct 5, 2021

edited by
Guest
Oct 5, 2021

#1**+2 **

removing 1/9 from A leaves 8/9 A left in A

8/9 A / (B + 1/9 A) = 4/7 Then __ given__ that B+ 1/9 A = 42 + 8/9 A sub this in for ( B + 1/9 A)

8/9 A / (42 +8/9 A) = 4/7

8/9 A = 4/7 ( 42 + 8/9 A) reults in A = 63 then because B+ 1/9 A = 42 + 8/9 A B = 91 marbles originally

ElectricPavlov Oct 5, 2021