There are 85 purple and silver marbles in Box G. There are 57 purple and pink marbles in Box H. The number of silver marbles in Box G is five times the number of pink marbles in Box H. The number of purple marbles in both boxes is the same.
- How many pink marbles are there in Box H?
- Find the total number of purple marbles in both boxes.
(a)
Number of silver marbles = 5 u
Number of pink marbles = 1 u
Purple marbles + 5 u = 85 --- (1)
Purple marbles + 1 u = 57 --- (2)
(1) - (2)
5 u - 1 u = 85 - 57
4 u = 28
1 u = 28 ÷ 4 = 7
Number of pink marbles
= 1 u
= 7
(b)
Number of purple marbles in Box H
= 57 - 7
= 50
Number of purple marbles in both boxes
= 2 x 50
= 100
Answer(s): (a) 7; (b) 100