There are 74 yellow and brown erasers in Box S. There are 44 yellow and blue erasers in Box T. The number of brown erasers in Box S is four times the number of blue erasers in Box T. The number of yellow erasers in both boxes is the same.
- How many blue erasers are there in Box T?
- Find the total number of yellow erasers in both boxes.
(a)
Number of brown erasers = 4 u
Number of blue erasers = 1 u
Yellow erasers + 4 u = 74 --- (1)
Yellow erasers + 1 u = 44 --- (2)
(1) - (2)
4 u - 1 u = 74 - 44
3 u = 30
1 u = 30 ÷ 3 = 10
Number of blue erasers
= 1 u
= 10
(b)
Number of yellow erasers in Box T
= 44 - 10
= 34
Number of yellow erasers in both boxes
= 2 x 34
= 68
Answer(s): (a) 10; (b) 68