Zoe had 6 more pens than Pamela. After Pamela gave away
57 of her pens, Zoe had five times as many pens as Pamela. How many pens did Pamela have at first?
| |
Zoe |
Pamela |
Comparing Zoe and
Pamela at first |
6 more |
|
| Before |
10 u |
7 u |
| Change |
|
- 5 u |
| After |
10 u |
2 u |
Comparing Zoe and
Pamela in the end |
5x2 =
10 u |
1x2 =
2 u |
Number of pens that Pamela had in the end is repeated. Make the number of pens that Pamela had in the end the same. LCM of 1 and 2 is 2.
Number of pens that Zoe had at first = 10 u
Number of pens that Zoe had more than Pamela at first
= 10 u - 7 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of pens that Pamela had at first
= 7 u
= 7 x 2
= 14
Answer(s): 14
