There are 87 pink and green beads in Box S. There are 55 pink and red beads in Box T. The number of green beads in Box S is five times the number of red beads in Box T. The number of pink beads in both boxes is the same.
- How many red beads are there in Box T?
- Find the total number of pink beads in both boxes.
(a)
Number of green beads = 5 u
Number of red beads = 1 u
Pink beads + 5 u = 87 --- (1)
Pink beads + 1 u = 55 --- (2)
(1) - (2)
5 u - 1 u = 87 - 55
4 u = 32
1 u = 32 ÷ 4 = 8
Number of red beads
= 1 u
= 8
(b)
Number of pink beads in Box T
= 55 - 8
= 47
Number of pink beads in both boxes
= 2 x 47
= 94
Answer(s): (a) 8; (b) 94