Nick had 345 more pens than Glen at first. Then Nick bought 57 more pens. In the end, Nick has 4 times as many pens as Glen.
- How many pens did Glen have?
- Find the total number of pens Nick and Glen had in the end?
| |
Nick |
Glen |
Total |
| Before |
1 u + 345 |
1 u |
|
| Change |
+ 57 |
|
|
| After |
1 u + 345 + 57 |
1 u |
5 u |
(a)
Before
Number of pens that Nick had = 1 u + 345
Number of pens that Glen had = 1 u
After
Number of pens that Nick had = 1 u + 345 + 57 = 4 u
Number of pens that Glen had = 1 u
1 u + 345 + 57 = 4u
1 u + 402 = 4 u
4 u - 1 u = 402
3 u = 402
1 u = 402 ÷ 3 = 134
(a)
Number of pens that Glen had
= 1 u
= 134
(b)
Number of pens that Nick and Glen had in the end
= 4 u + 1 u
= 5 u
= 5 x 134
= 670
Answer(s): (a) 134; (b) 670
