Ian had 305 more pens than Reggie at first. Then Ian bought 57 more pens. In the end, Ian has 3 times as many pens as Reggie.
- How many pens did Reggie have?
- Find the total number of pens Ian and Reggie had in the end?
| |
Ian |
Reggie |
Total |
| Before |
1 u + 305 |
1 u |
|
| Change |
+ 57 |
|
|
| After |
1 u + 305 + 57 |
1 u |
4 u |
(a)
Before
Number of pens that Ian had = 1 u + 305
Number of pens that Reggie had = 1 u
After
Number of pens that Ian had = 1 u + 305 + 57 = 3 u
Number of pens that Reggie had = 1 u
1 u + 305 + 57 = 3u
1 u + 362 = 3 u
3 u - 1 u = 362
2 u = 362
1 u = 362 ÷ 2 = 181
(a)
Number of pens that Reggie had
= 1 u
= 181
(b)
Number of pens that Ian and Reggie had in the end
= 3 u + 1 u
= 4 u
= 4 x 181
= 724
Answer(s): (a) 181; (b) 724
