Pamela had 28 more beads than Gwen. After Gwen gave away
58 of her beads, Pamela had four times as many beads as Gwen. How many beads did Gwen have at first?
| |
Pamela |
Gwen |
Comparing Pamela and
Gwen at first |
28 more |
|
| Before |
12 u |
8 u |
| Change |
|
- 5 u |
| After |
12 u |
3 u |
Comparing Pamela and
Gwen in the end |
4x3 =
12 u |
1x3 =
3 u |
Number of beads that Gwen had in the end is repeated. Make the number of beads that Gwen had in the end the same. LCM of 1 and 3 is 3.
Number of beads that Pamela had at first = 12 u
Number of beads that Pamela had more than Gwen at first
= 12 u - 8 u
= 4 u
4 u = 28
1 u = 28 ÷ 4 = 7
Number of beads that Gwen had at first
= 8 u
= 8 x 7
= 56
Answer(s): 56
