There are 47 yellow and grey coins in Box E. There are 33 yellow and pink coins in Box F. The number of grey coins in Box E is three times the number of pink coins in Box F. The number of yellow coins in both boxes is the same.
- How many pink coins are there in Box F?
- Find the total number of yellow coins in both boxes.
(a)
Number of grey coins = 3 u
Number of pink coins = 1 u
Yellow coins + 3 u = 47 --- (1)
Yellow coins + 1 u = 33 --- (2)
(1) - (2)
3 u - 1 u = 47 - 33
2 u = 14
1 u = 14 ÷ 2 = 7
Number of pink coins
= 1 u
= 7
(b)
Number of yellow coins in Box F
= 33 - 7
= 26
Number of yellow coins in both boxes
= 2 x 26
= 52
Answer(s): (a) 7; (b) 52