Paul bought 66 more buttons than Japheth and Japheth bought 12 buttons more than Shannon. The total number of buttons Paul and Japheth bought was 5 times the number of buttons Shannon bought.
- How many buttons does Paul need to give Japheth so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Paul |
Japheth |
Shannon |
1 u + 12 + 66 |
1 u + 12 |
1 u |
5 u |
1 u |
(a)
Number of buttons that Paul needs to give Japheth so that they have same number of buttons
= 66 ÷ 2
= 33
(b)
Total number of buttons that Paul and Japheth had
= 1 u + 12 + 66 + 1 u + 12
= 1 u + 1 u + 12 + 66 + 12
= 2 u + 90
5 u = 2 u + 90
5 u - 2 u = 90
3 u = 90
1 u = 90 ÷ 3 = 30
Total number of buttons that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 30
= 180
Answer(s): (a) 33; (b) 180