Cathy had 150 more beads than Gwen. After Gwen gave away
15 of her beads, Cathy had twice as many beads as Gwen. How many beads did Gwen have at first?
| |
Cathy |
Gwen |
Comparing Cathy
and Gwen at first |
150 more |
|
| Before |
8 u |
5 u |
| Change |
|
- 1 u |
| After |
|
4 u |
Comparing Cathy
and Gwen in the end |
2x4 =
8 u |
1x4 =
4 u |
The number of beads that Cathy had at first and in the end remains unchanged. Make the number of beads that Cathy had the same. LCM of 8 and 2 is 8.
Number of beads that Cathy had more than Gwen at first
= 8 u - 5 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Number of beads that Gwen had at first
= 5 u
= 5 x 50
= 250
Answer(s): 250
