Xandra and Mary collected beads. Mary gave 70% of her beads to Xandra. As a result, Xandra's beads increased by 30%. If Xandra had 910 beads left, find the total number of beads the two girls had at first.
| |
Comparing the change
in Mary's beads |
Mary |
Xandra |
| Before |
10x3 =
30 u |
|
10x7 =
70 u |
| Change |
- 7x3 =
- 21 u |
- 3x7 =
- 21 u |
+ 3x7 =
+ 21 u |
| After |
3x3 =
9 u |
|
13x7 =
91 u |
70% =
70100 =
710 30% =
30100 =
310 The number of beads that Xandra gave to Mary is repeated. Make the number of beads that Xandra gave to Mary the same. LCM of 3 and 7 is 21.
Number of beads that Xandra had in the end = 91 u
91 u = 910
1 u = 910 ÷ 91 = 10
Number of beads that Mary and Xandra had at first
= 30 u + 70 u
= 100 u
= 100 x 10
= 1000
Answer(s): 1000
