There are 52 black and grey beads in Box K. There are 44 black and pink beads in Box L. The number of grey beads in Box K is three times the number of pink beads in Box L. The number of black beads in both boxes is the same.
- How many pink beads are there in Box L?
- Find the total number of black beads in both boxes.
(a)
Number of grey beads = 3 u
Number of pink beads = 1 u
Black beads + 3 u = 52 --- (1)
Black beads + 1 u = 44 --- (2)
(1) - (2)
3 u - 1 u = 52 - 44
2 u = 8
1 u = 8 ÷ 2 = 4
Number of pink beads
= 1 u
= 4
(b)
Number of black beads in Box L
= 44 - 4
= 40
Number of black beads in both boxes
= 2 x 40
= 80
Answer(s): (a) 4; (b) 80