There are 63 silver and black marbles in Box T. There are 51 silver and brown marbles in Box U. The number of black marbles in Box T is four times the number of brown marbles in Box U. The number of silver marbles in both boxes is the same.
- How many brown marbles are there in Box U?
- Find the total number of silver marbles in both boxes.
(a)
Number of black marbles = 4 u
Number of brown marbles = 1 u
Silver marbles + 4 u = 63 --- (1)
Silver marbles + 1 u = 51 --- (2)
(1) - (2)
4 u - 1 u = 63 - 51
3 u = 12
1 u = 12 ÷ 3 = 4
Number of brown marbles
= 1 u
= 4
(b)
Number of silver marbles in Box U
= 51 - 4
= 47
Number of silver marbles in both boxes
= 2 x 47
= 94
Answer(s): (a) 4; (b) 94