There are 60 black and pink marbles in Box X. There are 44 black and green marbles in Box Y. The number of pink marbles in Box X is five times the number of green marbles in Box Y. The number of black marbles in both boxes is the same.
- How many green marbles are there in Box Y?
- Find the total number of black marbles in both boxes.
(a)
Number of pink marbles = 5 u
Number of green marbles = 1 u
Black marbles + 5 u = 60 --- (1)
Black marbles + 1 u = 44 --- (2)
(1) - (2)
5 u - 1 u = 60 - 44
4 u = 16
1 u = 16 ÷ 4 = 4
Number of green marbles
= 1 u
= 4
(b)
Number of black marbles in Box Y
= 44 - 4
= 40
Number of black marbles in both boxes
= 2 x 40
= 80
Answer(s): (a) 4; (b) 80