There are 75 pink and grey marbles in Box Q. There are 39 pink and white marbles in Box R. The number of grey marbles in Box Q is five times the number of white marbles in Box R. The number of pink marbles in both boxes is the same.
- How many white marbles are there in Box R?
- Find the total number of pink marbles in both boxes.
(a)
Number of grey marbles = 5 u
Number of white marbles = 1 u
Pink marbles + 5 u = 75 --- (1)
Pink marbles + 1 u = 39 --- (2)
(1) - (2)
5 u - 1 u = 75 - 39
4 u = 36
1 u = 36 ÷ 4 = 9
Number of white marbles
= 1 u
= 9
(b)
Number of pink marbles in Box R
= 39 - 9
= 30
Number of pink marbles in both boxes
= 2 x 30
= 60
Answer(s): (a) 9; (b) 60