There are 44 black and grey coins in Box P. There are 34 black and yellow coins in Box Q. The number of grey coins in Box P is three times the number of yellow coins in Box Q. The number of black coins in both boxes is the same.
- How many yellow coins are there in Box Q?
- Find the total number of black coins in both boxes.
(a)
Number of grey coins = 3 u
Number of yellow coins = 1 u
Black coins + 3 u = 44 --- (1)
Black coins + 1 u = 34 --- (2)
(1) - (2)
3 u - 1 u = 44 - 34
2 u = 10
1 u = 10 ÷ 2 = 5
Number of yellow coins
= 1 u
= 5
(b)
Number of black coins in Box Q
= 34 - 5
= 29
Number of black coins in both boxes
= 2 x 29
= 58
Answer(s): (a) 5; (b) 58