There are 57 yellow and pink marbles in Box Q. There are 33 yellow and silver marbles in Box R. The number of pink marbles in Box Q is four times the number of silver marbles in Box R. The number of yellow marbles in both boxes is the same.
- How many silver marbles are there in Box R?
- Find the total number of yellow marbles in both boxes.
(a)
Number of pink marbles = 4 u
Number of silver marbles = 1 u
Yellow marbles + 4 u = 57 --- (1)
Yellow marbles + 1 u = 33 --- (2)
(1) - (2)
4 u - 1 u = 57 - 33
3 u = 24
1 u = 24 ÷ 3 = 8
Number of silver marbles
= 1 u
= 8
(b)
Number of yellow marbles in Box R
= 33 - 8
= 25
Number of yellow marbles in both boxes
= 2 x 25
= 50
Answer(s): (a) 8; (b) 50