Victoria had 49 more beads than Emma. After Emma gave away
38 of her beads, Victoria had thrice as many beads as Emma. How many beads did Emma have at first?
| |
Victoria |
Emma |
Comparing Victoria and
Emma at first |
49 more |
|
| Before |
15 u |
8 u |
| Change |
|
- 3 u |
| After |
15 u |
5 u |
Comparing Victoria and
Emma in the end |
3x5 =
15 u |
1x5 =
5 u |
Number of beads that Emma had in the end is repeated. Make the number of beads that Emma had in the end the same. LCM of 1 and 5 is 5.
Number of beads that Victoria had at first = 15 u
Number of beads that Victoria had more than Emma at first
= 15 u - 8 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of beads that Emma had at first
= 8 u
= 8 x 7
= 56
Answer(s): 56
