There are 50 gold and white beads in Box V. There are 26 gold and yellow beads in Box W. The number of white beads in Box V is five times the number of yellow beads in Box W. The number of gold beads in both boxes is the same.
- How many yellow beads are there in Box W?
- Find the total number of gold beads in both boxes.
(a)
Number of white beads = 5 u
Number of yellow beads = 1 u
Gold beads + 5 u = 50 --- (1)
Gold beads + 1 u = 26 --- (2)
(1) - (2)
5 u - 1 u = 50 - 26
4 u = 24
1 u = 24 ÷ 4 = 6
Number of yellow beads
= 1 u
= 6
(b)
Number of gold beads in Box W
= 26 - 6
= 20
Number of gold beads in both boxes
= 2 x 20
= 40
Answer(s): (a) 6; (b) 40