Cindy and Jane collected beads. Cindy gave 10% of her beads to Jane. As a result, Jane's beads increased by 70%. If Cindy had 189 beads left, find the total number of beads the two girls had at first.
| |
Cindy |
Jane |
Comparing the change
in Jane's beads |
| Before |
10x7 =
70 u |
|
10x1 =
10 u |
| Change |
- 1x7 =
- 7 u |
+ 1x7 =
+ 7 u |
+ 7x1 =
+ 7 u |
| After |
9x7 =
63 u |
|
17x1 =
17 u |
10% =
10100 =
110 70% =
70100 =
710 The number of beads that Cindy gave to Jane is repeated. Make the number of beads that Cindy gave to Jane the same. LCM of 1 and 7 is 7.
Number of beads that Cindy had in the end = 63 u
63 u = 189
1 u = 189 ÷ 63 = 3
Number of beads that Cindy and Jane had at first
= 70 u + 10 u
= 80 u
= 80 x 3
= 240
Answer(s): 240
