Lynn and Nora collected marbles. Nora gave 80% of her marbles to Lynn. As a result, Lynn's marbles increased by 10%. If Lynn had 132 marbles left, find the total number of marbles the two girls had at first.
| |
Comparing the change
in Nora's marbles |
Nora |
Lynn |
| 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 Lynn gave to Nora is repeated. Make the number of marbles that Lynn gave to Nora the same. LCM of 1 and 4 is 4.
Number of marbles that Lynn had in the end = 44 u
44 u = 132
1 u = 132 ÷ 44 = 3
Number of marbles that Nora and Lynn had at first
= 5 u + 40 u
= 45 u
= 45 x 3
= 135
Answer(s): 135
