Fabian had 255 more pens than Simon at first. Then Fabian bought 43 more pens. In the end, Fabian has 3 times as many pens as Simon.
- How many pens did Simon have?
- Find the total number of pens Fabian and Simon had in the end?
| |
Fabian |
Simon |
Total |
| Before |
1 u + 255 |
1 u |
|
| Change |
+ 43 |
|
|
| After |
1 u + 255 + 43 |
1 u |
4 u |
(a)
Before
Number of pens that Fabian had = 1 u + 255
Number of pens that Simon had = 1 u
After
Number of pens that Fabian had = 1 u + 255 + 43 = 3 u
Number of pens that Simon had = 1 u
1 u + 255 + 43 = 3u
1 u + 298 = 3 u
3 u - 1 u = 298
2 u = 298
1 u = 298 ÷ 2 = 149
(a)
Number of pens that Simon had
= 1 u
= 149
(b)
Number of pens that Fabian and Simon had in the end
= 3 u + 1 u
= 4 u
= 4 x 149
= 596
Answer(s): (a) 149; (b) 596
