Gwen had 60 more marbles than Kathy. After Kathy gave away
35 of her marbles, Gwen had four times as many marbles as Kathy. How many marbles did Kathy have at first?
| |
Gwen |
Kathy |
Comparing Gwen
and Kathy at first |
60 more |
|
| Before |
8 u |
5 u |
| Change |
|
- 3 u |
| After |
|
2 u |
Comparing Gwen
and Kathy in the end |
4x2 =
8 u |
1x2 =
2 u |
The number of marbles that Gwen had at first and in the end remains unchanged. Make the number of marbles that Gwen had the same. LCM of 8 and 4 is 8.
Number of marbles that Gwen had more than Kathy at first
= 8 u - 5 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of marbles that Kathy had at first
= 5 u
= 5 x 20
= 100
Answer(s): 100
