There are 77 red and white marbles in Box T. There are 49 red and pink marbles in Box U. The number of white marbles in Box T is five times the number of pink marbles in Box U. The number of red marbles in both boxes is the same.
- How many pink marbles are there in Box U?
- Find the total number of red marbles in both boxes.
(a)
Number of white marbles = 5 u
Number of pink marbles = 1 u
Red marbles + 5 u = 77 --- (1)
Red marbles + 1 u = 49 --- (2)
(1) - (2)
5 u - 1 u = 77 - 49
4 u = 28
1 u = 28 ÷ 4 = 7
Number of pink marbles
= 1 u
= 7
(b)
Number of red marbles in Box U
= 49 - 7
= 42
Number of red marbles in both boxes
= 2 x 42
= 84
Answer(s): (a) 7; (b) 84