There are 70 pink and purple beads in Box J. There are 42 pink and silver beads in Box K. The number of purple beads in Box J is five times the number of silver beads in Box K. The number of pink beads in both boxes is the same.
- How many silver beads are there in Box K?
- Find the total number of pink beads in both boxes.
(a)
Number of purple beads = 5 u
Number of silver beads = 1 u
Pink beads + 5 u = 70 --- (1)
Pink beads + 1 u = 42 --- (2)
(1) - (2)
5 u - 1 u = 70 - 42
4 u = 28
1 u = 28 ÷ 4 = 7
Number of silver beads
= 1 u
= 7
(b)
Number of pink beads in Box K
= 42 - 7
= 35
Number of pink beads in both boxes
= 2 x 35
= 70
Answer(s): (a) 7; (b) 70