Nick and Zeph had 30 pens together. Zeph had 2 less pens than Nick. Both of them sold some of their pens. Zeph sold 25% more pens than what Nick sold. In the end, Zeph had half as many pens left as Nick. How many pens had Zeph left?
| |
Nick
(1) |
Zeph
(2) |
Make p the same
(2)x2 = (3) |
Comparing Nick
and Zeph at first |
2 more |
|
|
| Before |
16 |
14 |
28 |
| Change |
- 4 u |
- 5 u |
- 10 u |
| After |
2 p |
1 p |
2 p |
Number of pens that Zeph had at first
= (30 - 2) ÷ 2
= 28 ÷ 2
= 14
Number of pens that Nick had at first
= 14 + 2
= 16
Number of pens that Zeph sold in percent
= 100% + 25%
= 125%
125% =
125100 =
54 Make p the same.
(1) = (3)
16 - 4 u = 28 - 10 u
10 u - 4 u = 28 - 16
6 u = 12
1 u = 12 ÷ 6 = 2
Number of pens that Zeph had left
= 14 - 5 u
= 14 - 5 x 2
= 14 - 10
= 4
Answer(s): 4
