Ben bought 54 more buttons than Julian and Julian bought 28 buttons more than Irene. The total number of buttons Ben and Julian bought was 4 times the number of buttons Irene bought.
- How many buttons does Ben need to give Julian so that they have the same number of buttons?
- How many buttons did all three of them have altogether?
Ben |
Julian |
Irene |
1 u + 28 + 54 |
1 u + 28 |
1 u |
4 u |
1 u |
(a)
Number of buttons that Ben needs to give Julian so that they have same number of buttons
= 54 ÷ 2
= 27
(b)
Total number of buttons that Ben and Julian had
= 1 u + 28 + 54 + 1 u + 28
= 1 u + 1 u + 28 + 54 + 28
= 2 u + 110
4 u = 2 u + 110
4 u - 2 u = 110
2 u = 110
1 u = 110 ÷ 2 = 55
Total number of buttons that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 55
= 275
Answer(s): (a) 27; (b) 275