Japheth had 333 more buttons than Jack at first. Then Japheth bought 45 more buttons. In the end, Japheth has 4 times as many buttons as Jack.
- How many buttons did Jack have?
- Find the total number of buttons Japheth and Jack had in the end?
| |
Japheth |
Jack |
Total |
| Before |
1 u + 333 |
1 u |
|
| Change |
+ 45 |
|
|
| After |
1 u + 333 + 45 |
1 u |
5 u |
(a)
Before
Number of buttons that Japheth had = 1 u + 333
Number of buttons that Jack had = 1 u
After
Number of buttons that Japheth had = 1 u + 333 + 45 = 4 u
Number of buttons that Jack had = 1 u
1 u + 333 + 45 = 4u
1 u + 378 = 4 u
4 u - 1 u = 378
3 u = 378
1 u = 378 ÷ 3 = 126
(a)
Number of buttons that Jack had
= 1 u
= 126
(b)
Number of buttons that Japheth and Jack had in the end
= 4 u + 1 u
= 5 u
= 5 x 126
= 630
Answer(s): (a) 126; (b) 630
