Caden bought 44 more erasers than Ian and Ian bought 28 erasers more than Betty. The total number of erasers Caden and Ian bought was 4 times the number of erasers Betty bought.
- How many erasers does Caden need to give Ian so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Caden |
Ian |
Betty |
1 u + 28 + 44 |
1 u + 28 |
1 u |
4 u |
1 u |
(a)
Number of erasers that Caden needs to give Ian so that they have same number of erasers
= 44 ÷ 2
= 22
(b)
Total number of erasers that Caden and Ian had
= 1 u + 28 + 44 + 1 u + 28
= 1 u + 1 u + 28 + 44 + 28
= 2 u + 100
4 u = 2 u + 100
4 u - 2 u = 100
2 u = 100
1 u = 100 ÷ 2 = 50
Total number of erasers that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 50
= 250
Answer(s): (a) 22; (b) 250