There are 43 white and pink beads in Box K. There are 29 white and red beads in Box L. The number of pink beads in Box K is three times the number of red beads in Box L. The number of white beads in both boxes is the same.
- How many red beads are there in Box L?
- Find the total number of white beads in both boxes.
(a)
Number of pink beads = 3 u
Number of red beads = 1 u
White beads + 3 u = 43 --- (1)
White beads + 1 u = 29 --- (2)
(1) - (2)
3 u - 1 u = 43 - 29
2 u = 14
1 u = 14 ÷ 2 = 7
Number of red beads
= 1 u
= 7
(b)
Number of white beads in Box L
= 29 - 7
= 22
Number of white beads in both boxes
= 2 x 22
= 44
Answer(s): (a) 7; (b) 44