There are 103 gold and brown erasers in Box G. There are 59 gold and yellow erasers in Box H. The number of brown erasers in Box G is five times the number of yellow erasers in Box H. The number of gold erasers in both boxes is the same.
- How many yellow erasers are there in Box H?
- Find the total number of gold erasers in both boxes.
(a)
Number of brown erasers = 5 u
Number of yellow erasers = 1 u
Gold erasers + 5 u = 103 --- (1)
Gold erasers + 1 u = 59 --- (2)
(1) - (2)
5 u - 1 u = 103 - 59
4 u = 44
1 u = 44 ÷ 4 = 11
Number of yellow erasers
= 1 u
= 11
(b)
Number of gold erasers in Box H
= 59 - 11
= 48
Number of gold erasers in both boxes
= 2 x 48
= 96
Answer(s): (a) 11; (b) 96