There are 59 purple and blue erasers in Box B. There are 47 purple and yellow erasers in Box C. The number of blue erasers in Box B is three times the number of yellow erasers in Box C. The number of purple erasers in both boxes is the same.
- How many yellow erasers are there in Box C?
- Find the total number of purple erasers in both boxes.
(a)
Number of blue erasers = 3 u
Number of yellow erasers = 1 u
Purple erasers + 3 u = 59 --- (1)
Purple erasers + 1 u = 47 --- (2)
(1) - (2)
3 u - 1 u = 59 - 47
2 u = 12
1 u = 12 ÷ 2 = 6
Number of yellow erasers
= 1 u
= 6
(b)
Number of purple erasers in Box C
= 47 - 6
= 41
Number of purple erasers in both boxes
= 2 x 41
= 82
Answer(s): (a) 6; (b) 82