Tommy bought 48 more erasers than Elijah and Elijah bought 24 erasers more than Yoko. The total number of erasers Tommy and Elijah bought was 5 times the number of erasers Yoko bought.
- How many erasers does Tommy need to give Elijah so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Tommy |
Elijah |
Yoko |
1 u + 24 + 48 |
1 u + 24 |
1 u |
5 u |
1 u |
(a)
Number of erasers that Tommy needs to give Elijah so that they have same number of erasers
= 48 ÷ 2
= 24
(b)
Total number of erasers that Tommy and Elijah had
= 1 u + 24 + 48 + 1 u + 24
= 1 u + 1 u + 24 + 48 + 24
= 2 u + 96
5 u = 2 u + 96
5 u - 2 u = 96
3 u = 96
1 u = 96 ÷ 3 = 32
Total number of erasers that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 32
= 192
Answer(s): (a) 24; (b) 192