There are 58 red and green erasers in Box P. There are 34 red and brown erasers in Box Q. The number of green erasers in Box P is three times the number of brown erasers in Box Q. The number of red erasers in both boxes is the same.
- How many brown erasers are there in Box Q?
- Find the total number of red erasers in both boxes.
(a)
Number of green erasers = 3 u
Number of brown erasers = 1 u
Red erasers + 3 u = 58 --- (1)
Red erasers + 1 u = 34 --- (2)
(1) - (2)
3 u - 1 u = 58 - 34
2 u = 24
1 u = 24 ÷ 2 = 12
Number of brown erasers
= 1 u
= 12
(b)
Number of red erasers in Box Q
= 34 - 12
= 22
Number of red erasers in both boxes
= 2 x 22
= 44
Answer(s): (a) 12; (b) 44