There are 55 gold and blue marbles in Box J. There are 35 gold and purple marbles in Box K. The number of blue marbles in Box J is three times the number of purple marbles in Box K. The number of gold marbles in both boxes is the same.
- How many purple marbles are there in Box K?
- Find the total number of gold marbles in both boxes.
(a)
Number of blue marbles = 3 u
Number of purple marbles = 1 u
Gold marbles + 3 u = 55 --- (1)
Gold marbles + 1 u = 35 --- (2)
(1) - (2)
3 u - 1 u = 55 - 35
2 u = 20
1 u = 20 ÷ 2 = 10
Number of purple marbles
= 1 u
= 10
(b)
Number of gold marbles in Box K
= 35 - 10
= 25
Number of gold marbles in both boxes
= 2 x 25
= 50
Answer(s): (a) 10; (b) 50