Owen had 268 more buttons than Zane at first. Then Owen bought 53 more buttons. In the end, Owen has 4 times as many buttons as Zane.
- How many buttons did Zane have?
- Find the total number of buttons Owen and Zane had in the end?
| |
Owen |
Zane |
Total |
| Before |
1 u + 268 |
1 u |
|
| Change |
+ 53 |
|
|
| After |
1 u + 268 + 53 |
1 u |
5 u |
(a)
Before
Number of buttons that Owen had = 1 u + 268
Number of buttons that Zane had = 1 u
After
Number of buttons that Owen had = 1 u + 268 + 53 = 4 u
Number of buttons that Zane had = 1 u
1 u + 268 + 53 = 4u
1 u + 321 = 4 u
4 u - 1 u = 321
3 u = 321
1 u = 321 ÷ 3 = 107
(a)
Number of buttons that Zane had
= 1 u
= 107
(b)
Number of buttons that Owen and Zane had in the end
= 4 u + 1 u
= 5 u
= 5 x 107
= 535
Answer(s): (a) 107; (b) 535
