There are 73 blue and black pens in Box L. There are 55 blue and gold pens in Box M. The number of black pens in Box L is four times the number of gold pens in Box M. The number of blue pens in both boxes is the same.
- How many gold pens are there in Box M?
- Find the total number of blue pens in both boxes.
(a)
Number of black pens = 4 u
Number of gold pens = 1 u
Blue pens + 4 u = 73 --- (1)
Blue pens + 1 u = 55 --- (2)
(1) - (2)
4 u - 1 u = 73 - 55
3 u = 18
1 u = 18 ÷ 3 = 6
Number of gold pens
= 1 u
= 6
(b)
Number of blue pens in Box M
= 55 - 6
= 49
Number of blue pens in both boxes
= 2 x 49
= 98
Answer(s): (a) 6; (b) 98