Kylie and Dana collected marbles. Dana gave 80% of her marbles to Kylie. As a result, Kylie's marbles increased by 30%. If Kylie had 572 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Dana's marbles |
Dana |
Kylie |
| Before |
5x3 =
15 u |
|
10x4 =
40 u |
| Change |
- 4x3 =
- 12 u |
- 3x4 =
- 12 u |
+ 3x4 =
+ 12 u |
| After |
1x3 =
3 u |
|
13x4 =
52 u |
80% =
80100 =
45 30% =
30100 =
310 The number of marbles that Kylie gave to Dana is repeated. Make the number of marbles that Kylie gave to Dana the same. LCM of 3 and 4 is 12.
Number of marbles that Kylie had in the end = 52 u
52 u = 572
1 u = 572 ÷ 52 = 11
Number of marbles that Dana and Kylie had at first
= 15 u + 40 u
= 55 u
= 55 x 11
= 605
Answer(s): 605
