Question

Some marbles in a bag are red and the rest are blue. If one red marble is removed,

then one-seventh of the remaining marbles are red. If two blue marbles are removed
instead of one red, then one-fifth of the remaining marbles are red. How many
marbles were in the bag original

Pls give EXPLANATION

Answer 1

22

Explanation:

Let r be red and b be blue

1/7(r-1+b)=r-1

1/5(r+b-2)=r

r-1+b=7(r-1)

r+b-2=5r

r-1+b=7r-7

1=7r-7-5r

8=2r

r=4

1/5(4+b-2)=4

2+b=20

b=18

18+4=22