The ratio of the number of marbles in Box A to that in Box B is 3:5. Box A has 10 fewer marbles than Box B. How many marbles are there altogether?

Question

The ratio of the number of marbles in Box A to that in Box B is 3:5. Box A has 10 fewer marbles than Box B.

How many marbles are there altogether?




If 3 marbles are moved from Box A to Box B, what will be the new ratio of the marbles in Box A to that in Box B?

Answer 1

b represents the marbles in box B

b - 10 represents the marbles in box A

 

3 : 5 :: (b - 10) : b       stated proportion

3b = 5(b - 10)             product means/extremes

 

Can you solve for b and answer?