There are 45 blue and white coins in Box D. There are 39 blue and pink coins in Box E. The number of white coins in Box D is three times the number of pink coins in Box E. The number of blue coins in both boxes is the same.
- How many pink coins are there in Box E?
- Find the total number of blue coins in both boxes.
(a)
Number of white coins = 3 u
Number of pink coins = 1 u
Blue coins + 3 u = 45 --- (1)
Blue coins + 1 u = 39 --- (2)
(1) - (2)
3 u - 1 u = 45 - 39
2 u = 6
1 u = 6 ÷ 2 = 3
Number of pink coins
= 1 u
= 3
(b)
Number of blue coins in Box E
= 39 - 3
= 36
Number of blue coins in both boxes
= 2 x 36
= 72
Answer(s): (a) 3; (b) 72