Rael bought 10 more erasers than Warren and Warren bought 19 erasers more than John. The total number of erasers Rael and Warren bought was 5 times the number of erasers John bought.
- How many erasers does Rael need to give Warren so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
(a)
Since Rael had 10 erasers more than Warren, Rael needed to give half of his extra erasers to Warren.
Number of erasers that Rael needs to give to Warren
= 10 ÷ 2
= 5
(b)
Number of erasers that John bought = 1 u
Number of erasers that Warren bought = 1 u + 19
Number of erasers that Rael bought
= 1 u + 19 + 10
= 1 u + 29
Number of erasers that Warren and Rael bought
= 1 u + 19 + 1 u + 29
= 2 u + 48
Total number of erasers that Rael and Warren bought is 5 times the number that John bought.
Number of erasers that Warren and Rael bought = 5 u
5 u = 2 u + 48
5 u - 2 u = 48
3 u = 48
1 u = 48 ÷ 3 = 16
Total number of erasers
= 5 u + 1 u
= 6 u
= 6 x 16
= 96
Answer(s): (a) 5; (b) 96
