Opal had 20 more beads than Usha. After Usha gave away
13 of her beads, Opal had four times as many beads as Usha. How many beads did Usha have at first?
|
Opal |
Usha |
Comparing Opal and Usha at first |
20 more |
|
Before |
8 u |
3 u |
Change |
|
- 1 u |
After |
8 u |
2 u |
Comparing Opal and Usha in the end |
4x2 = 8 u |
1x2 = 2 u |
Number of beads that Usha had in the end is repeated. Make the number of beads that Usha had in the end the same. LCM of 1 and 2 is 2.
Number of beads that Opal had at first = 8 u
Number of beads that Opal had more than Usha at first
= 8 u - 3 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of beads that Usha had at first
= 3 u
= 3 x 4
= 12
Answer(s): 12