There are 85 yellow and green beads in Box X. There are 37 yellow and gold beads in Box Y. The number of green beads in Box X is five times the number of gold beads in Box Y. The number of yellow beads in both boxes is the same.
- How many gold beads are there in Box Y?
- Find the total number of yellow beads in both boxes.
(a)
Number of green beads = 5 u
Number of gold beads = 1 u
Yellow beads + 5 u = 85 --- (1)
Yellow beads + 1 u = 37 --- (2)
(1) - (2)
5 u - 1 u = 85 - 37
4 u = 48
1 u = 48 ÷ 4 = 12
Number of gold beads
= 1 u
= 12
(b)
Number of yellow beads in Box Y
= 37 - 12
= 25
Number of yellow beads in both boxes
= 2 x 25
= 50
Answer(s): (a) 12; (b) 50