There are 56 red and pink coins in Box Q. There are 40 red and gold coins in Box R. The number of pink coins in Box Q is three times the number of gold coins in Box R. The number of red coins in both boxes is the same.
- How many gold coins are there in Box R?
- Find the total number of red coins in both boxes.
(a)
Number of pink coins = 3 u
Number of gold coins = 1 u
Red coins + 3 u = 56 --- (1)
Red coins + 1 u = 40 --- (2)
(1) - (2)
3 u - 1 u = 56 - 40
2 u = 16
1 u = 16 ÷ 2 = 8
Number of gold coins
= 1 u
= 8
(b)
Number of red coins in Box R
= 40 - 8
= 32
Number of red coins in both boxes
= 2 x 32
= 64
Answer(s): (a) 8; (b) 64