There are 90 blue and red beads in Box T. There are 57 blue and gold beads in Box U. The number of red beads in Box T is four times the number of gold beads in Box U. The number of blue beads in both boxes is the same.
- How many gold beads are there in Box U?
- Find the total number of blue beads in both boxes.
(a)
Number of red beads = 4 u
Number of gold beads = 1 u
Blue beads + 4 u = 90 --- (1)
Blue beads + 1 u = 57 --- (2)
(1) - (2)
4 u - 1 u = 90 - 57
3 u = 33
1 u = 33 ÷ 3 = 11
Number of gold beads
= 1 u
= 11
(b)
Number of blue beads in Box U
= 57 - 11
= 46
Number of blue beads in both boxes
= 2 x 46
= 92
Answer(s): (a) 11; (b) 92