There are 91 yellow and green marbles in Box B. There are 47 yellow and red marbles in Box C. The number of green marbles in Box B is five times the number of red marbles in Box C. The number of yellow marbles in both boxes is the same.
- How many red marbles are there in Box C?
- Find the total number of yellow marbles in both boxes.
(a)
Number of green marbles = 5 u
Number of red marbles = 1 u
Yellow marbles + 5 u = 91 --- (1)
Yellow marbles + 1 u = 47 --- (2)
(1) - (2)
5 u - 1 u = 91 - 47
4 u = 44
1 u = 44 ÷ 4 = 11
Number of red marbles
= 1 u
= 11
(b)
Number of yellow marbles in Box C
= 47 - 11
= 36
Number of yellow marbles in both boxes
= 2 x 36
= 72
Answer(s): (a) 11; (b) 72