There are 56 pink and silver erasers in Box T. There are 28 pink and brown erasers in Box U. The number of silver erasers in Box T is five times the number of brown erasers in Box U. The number of pink erasers in both boxes is the same.
- How many brown erasers are there in Box U?
- Find the total number of pink erasers in both boxes.
(a)
Number of silver erasers = 5 u
Number of brown erasers = 1 u
Pink erasers + 5 u = 56 --- (1)
Pink erasers + 1 u = 28 --- (2)
(1) - (2)
5 u - 1 u = 56 - 28
4 u = 28
1 u = 28 ÷ 4 = 7
Number of brown erasers
= 1 u
= 7
(b)
Number of pink erasers in Box U
= 28 - 7
= 21
Number of pink erasers in both boxes
= 2 x 21
= 42
Answer(s): (a) 7; (b) 42