Gwen and Emily collected marbles. Emily gave 80% of her marbles to Gwen. As a result, Gwen's marbles increased by 10%. If Gwen had 484 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Emily's marbles |
Emily |
Gwen |
| Before |
5x1 =
5 u |
|
10x4 =
40 u |
| Change |
- 4x1 =
- 4 u |
- 1x4 =
- 4 u |
+ 1x4 =
+ 4 u |
| After |
1x1 =
1 u |
|
11x4 =
44 u |
80% =
80100 =
45 10% =
10100 =
110 The number of marbles that Gwen gave to Emily is repeated. Make the number of marbles that Gwen gave to Emily the same. LCM of 1 and 4 is 4.
Number of marbles that Gwen had in the end = 44 u
44 u = 484
1 u = 484 ÷ 44 = 11
Number of marbles that Emily and Gwen had at first
= 5 u + 40 u
= 45 u
= 45 x 11
= 495
Answer(s): 495
