Valen bought 46 more erasers than Archie and Archie bought 12 erasers more than Tiffany. The total number of erasers Valen and Archie bought was 4 times the number of erasers Tiffany bought.
- How many erasers does Valen need to give Archie so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Valen |
Archie |
Tiffany |
1 u + 12 + 46 |
1 u + 12 |
1 u |
4 u |
1 u |
(a)
Number of erasers that Valen needs to give Archie so that they have same number of erasers
= 46 ÷ 2
= 23
(b)
Total number of erasers that Valen and Archie had
= 1 u + 12 + 46 + 1 u + 12
= 1 u + 1 u + 12 + 46 + 12
= 2 u + 70
4 u = 2 u + 70
4 u - 2 u = 70
2 u = 70
1 u = 70 ÷ 2 = 35
Total number of erasers that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 35
= 175
Answer(s): (a) 23; (b) 175