Bobby had 221 more buttons than Jeremy at first. Then Bobby bought 55 more buttons. In the end, Bobby has 3 times as many buttons as Jeremy.
- How many buttons did Jeremy have?
- Find the total number of buttons Bobby and Jeremy had in the end?
| |
Bobby |
Jeremy |
Total |
| Before |
1 u + 221 |
1 u |
|
| Change |
+ 55 |
|
|
| After |
1 u + 221 + 55 |
1 u |
4 u |
(a)
Before
Number of buttons that Bobby had = 1 u + 221
Number of buttons that Jeremy had = 1 u
After
Number of buttons that Bobby had = 1 u + 221 + 55 = 3 u
Number of buttons that Jeremy had = 1 u
1 u + 221 + 55 = 3u
1 u + 276 = 3 u
3 u - 1 u = 276
2 u = 276
1 u = 276 ÷ 2 = 138
(a)
Number of buttons that Jeremy had
= 1 u
= 138
(b)
Number of buttons that Bobby and Jeremy had in the end
= 3 u + 1 u
= 4 u
= 4 x 138
= 552
Answer(s): (a) 138; (b) 552
