There are 102 grey and yellow erasers in Box N. There are 54 grey and red erasers in Box P. The number of yellow erasers in Box N is five times the number of red erasers in Box P. The number of grey erasers in both boxes is the same.
- How many red erasers are there in Box P?
- Find the total number of grey erasers in both boxes.
(a)
Number of yellow erasers = 5 u
Number of red erasers = 1 u
Grey erasers + 5 u = 102 --- (1)
Grey erasers + 1 u = 54 --- (2)
(1) - (2)
5 u - 1 u = 102 - 54
4 u = 48
1 u = 48 ÷ 4 = 12
Number of red erasers
= 1 u
= 12
(b)
Number of grey erasers in Box P
= 54 - 12
= 42
Number of grey erasers in both boxes
= 2 x 42
= 84
Answer(s): (a) 12; (b) 84