Zane had 347 more buttons than Jenson at first. Then Zane bought 46 more buttons. In the end, Zane has 4 times as many buttons as Jenson.
- How many buttons did Jenson have?
- Find the total number of buttons Zane and Jenson had in the end?
| |
Zane |
Jenson |
Total |
| Before |
1 u + 347 |
1 u |
|
| Change |
+ 46 |
|
|
| After |
1 u + 347 + 46 |
1 u |
5 u |
(a)
Before
Number of buttons that Zane had = 1 u + 347
Number of buttons that Jenson had = 1 u
After
Number of buttons that Zane had = 1 u + 347 + 46 = 4 u
Number of buttons that Jenson had = 1 u
1 u + 347 + 46 = 4u
1 u + 393 = 4 u
4 u - 1 u = 393
3 u = 393
1 u = 393 ÷ 3 = 131
(a)
Number of buttons that Jenson had
= 1 u
= 131
(b)
Number of buttons that Zane and Jenson had in the end
= 4 u + 1 u
= 5 u
= 5 x 131
= 655
Answer(s): (a) 131; (b) 655
