Victoria and Anna collected pens. Anna gave 80% of her pens to Victoria. As a result, Victoria's pens increased by 20%. If Victoria had 288 pens left, find the total number of pens the two girls had at first.
|
Comparing the change in Anna's pens |
Anna |
Victoria |
Before |
5x1 = 5 u |
|
5x4 = 20 u |
Change |
- 4x1 = - 4 u |
- 1x4 = - 4 u |
+ 1x4 = + 4 u |
After |
1x1 = 1 u |
|
6x4 = 24 u |
80% =
80100 =
45 20% =
20100 =
15 The number of pens that Victoria gave to Anna is repeated. Make the number of pens that Victoria gave to Anna the same. LCM of 1 and 4 is 4.
Number of pens that Victoria had in the end = 24 u
24 u = 288
1 u = 288 ÷ 24 = 12
Number of pens that Anna and Victoria had at first
= 5 u + 20 u
= 25 u
= 25 x 12
= 300
Answer(s): 300