There are 103 blue and silver marbles in Box U. There are 59 blue and green marbles in Box V. The number of silver marbles in Box U is five times the number of green marbles in Box V. The number of blue marbles in both boxes is the same.
- How many green marbles are there in Box V?
- Find the total number of blue marbles in both boxes.
(a)
Number of silver marbles = 5 u
Number of green marbles = 1 u
Blue marbles + 5 u = 103 --- (1)
Blue marbles + 1 u = 59 --- (2)
(1) - (2)
5 u - 1 u = 103 - 59
4 u = 44
1 u = 44 ÷ 4 = 11
Number of green marbles
= 1 u
= 11
(b)
Number of blue marbles in Box V
= 59 - 11
= 48
Number of blue marbles in both boxes
= 2 x 48
= 96
Answer(s): (a) 11; (b) 96