Fiona had 145 more cards than Winnie. After Winnie gave away
35 of her cards, Fiona had five times as many cards as Winnie. How many cards did Winnie have at first?
| |
Fiona |
Winnie |
Comparing Fiona
and Winnie at first |
145 more |
|
| Before |
10 u |
5 u |
| Change |
|
- 3 u |
| After |
|
2 u |
Comparing Fiona
and Winnie in the end |
5x2 =
10 u |
1x2 =
2 u |
The number of cards that Fiona had at first and in the end remains unchanged. Make the number of cards that Fiona had the same. LCM of 10 and 5 is 10.
Number of cards that Fiona had more than Winnie at first
= 10 u - 5 u
= 5 u
5 u = 145
1 u = 145 ÷ 5 = 29
Number of cards that Winnie had at first
= 5 u
= 5 x 29
= 145
Answer(s): 145
