There are 57 yellow and brown erasers in Box R. There are 45 yellow and pink erasers in Box S. The number of brown erasers in Box R is five times the number of pink erasers in Box S. The number of yellow erasers in both boxes is the same.
- How many pink erasers are there in Box S?
- Find the total number of yellow erasers in both boxes.
(a)
Number of brown erasers = 5 u
Number of pink erasers = 1 u
Yellow erasers + 5 u = 57 --- (1)
Yellow erasers + 1 u = 45 --- (2)
(1) - (2)
5 u - 1 u = 57 - 45
4 u = 12
1 u = 12 ÷ 4 = 3
Number of pink erasers
= 1 u
= 3
(b)
Number of yellow erasers in Box S
= 45 - 3
= 42
Number of yellow erasers in both boxes
= 2 x 42
= 84
Answer(s): (a) 3; (b) 84