Gillian had 12 more beads than Hilda. After Hilda gave away
15 of her beads, Gillian had twice as many beads as Hilda. How many beads did Hilda have at first?
| |
Gillian |
Hilda |
Comparing Gillian and
Hilda at first |
12 more |
|
| Before |
8 u |
5 u |
| Change |
|
- 1 u |
| After |
8 u |
4 u |
Comparing Gillian and
Hilda in the end |
2x4 =
8 u |
1x4 =
4 u |
Number of beads that Hilda had in the end is repeated. Make the number of beads that Hilda had in the end the same. LCM of 1 and 4 is 4.
Number of beads that Gillian had at first = 8 u
Number of beads that Gillian had more than Hilda at first
= 8 u - 5 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of beads that Hilda had at first
= 5 u
= 5 x 4
= 20
Answer(s): 20
