Anna and Xylia collected marbles. Xylia gave 80% of her marbles to Anna. As a result, Anna's marbles increased by 30%. If Anna had 104 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Xylia's marbles |
Xylia |
Anna |
| 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 Anna gave to Xylia is repeated. Make the number of marbles that Anna gave to Xylia the same. LCM of 3 and 4 is 12.
Number of marbles that Anna had in the end = 52 u
52 u = 104
1 u = 104 ÷ 52 = 2
Number of marbles that Xylia and Anna had at first
= 15 u + 40 u
= 55 u
= 55 x 2
= 110
Answer(s): 110
