Michael bought 54 more stamps than Justin and Justin bought 17 stamps more than Abi. The total number of stamps Michael and Justin bought was 6 times the number of stamps Abi bought.
- How many stamps does Michael need to give Justin so that they have the same number of stamps?
- How many stamps did all three of them have altogether?
Michael |
Justin |
Abi |
1 u + 17 + 54 |
1 u + 17 |
1 u |
6 u |
1 u |
(a)
Number of stamps that Michael needs to give Justin so that they have same number of stamps
= 54 ÷ 2
= 27
(b)
Total number of stamps that Michael and Justin had
= 1 u + 17 + 54 + 1 u + 17
= 1 u + 1 u + 17 + 54 + 17
= 2 u + 88
6 u = 2 u + 88
6 u - 2 u = 88
4 u = 88
1 u = 88 ÷ 4 = 22
Total number of stamps that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 22
= 154
Answer(s): (a) 27; (b) 154