Julie and Betty collected beads. Betty gave 75% of her beads to Julie. As a result, Julie's beads increased by 10%. If Julie had 165 beads left, find the total number of beads the two girls had at first.
| |
Comparing the change
in Betty's beads |
Betty |
Julie |
| Before |
4x1 =
4 u |
|
10x3 =
30 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
1x1 =
1 u |
|
11x3 =
33 u |
75% =
75100 =
34 10% =
10100 =
110 The number of beads that Julie gave to Betty is repeated. Make the number of beads that Julie gave to Betty the same. LCM of 1 and 3 is 3.
Number of beads that Julie had in the end = 33 u
33 u = 165
1 u = 165 ÷ 33 = 5
Number of beads that Betty and Julie had at first
= 4 u + 30 u
= 34 u
= 34 x 5
= 170
Answer(s): 170
