There are 62 black and yellow pens in Box X. There are 47 black and pink pens in Box Y. The number of yellow pens in Box X is four times the number of pink pens in Box Y. The number of black pens in both boxes is the same.
- How many pink pens are there in Box Y?
- Find the total number of black pens in both boxes.
(a)
Number of yellow pens = 4 u
Number of pink pens = 1 u
Black pens + 4 u = 62 --- (1)
Black pens + 1 u = 47 --- (2)
(1) - (2)
4 u - 1 u = 62 - 47
3 u = 15
1 u = 15 ÷ 3 = 5
Number of pink pens
= 1 u
= 5
(b)
Number of black pens in Box Y
= 47 - 5
= 42
Number of black pens in both boxes
= 2 x 42
= 84
Answer(s): (a) 5; (b) 84