There are 70 green and white erasers in Box S. There are 30 green and yellow erasers in Box T. The number of white erasers in Box S is five times the number of yellow erasers in Box T. The number of green erasers in both boxes is the same.
- How many yellow erasers are there in Box T?
- Find the total number of green erasers in both boxes.
(a)
Number of white erasers = 5 u
Number of yellow erasers = 1 u
Green erasers + 5 u = 70 --- (1)
Green erasers + 1 u = 30 --- (2)
(1) - (2)
5 u - 1 u = 70 - 30
4 u = 40
1 u = 40 ÷ 4 = 10
Number of yellow erasers
= 1 u
= 10
(b)
Number of green erasers in Box T
= 30 - 10
= 20
Number of green erasers in both boxes
= 2 x 20
= 40
Answer(s): (a) 10; (b) 40