There are 62 green and silver marbles in Box M. There are 44 green and gold marbles in Box N. The number of silver marbles in Box M is four times the number of gold marbles in Box N. The number of green marbles in both boxes is the same.
- How many gold marbles are there in Box N?
- Find the total number of green marbles in both boxes.
(a)
Number of silver marbles = 4 u
Number of gold marbles = 1 u
Green marbles + 4 u = 62 --- (1)
Green marbles + 1 u = 44 --- (2)
(1) - (2)
4 u - 1 u = 62 - 44
3 u = 18
1 u = 18 ÷ 3 = 6
Number of gold marbles
= 1 u
= 6
(b)
Number of green marbles in Box N
= 44 - 6
= 38
Number of green marbles in both boxes
= 2 x 38
= 76
Answer(s): (a) 6; (b) 76