Zoe had 65 more marbles than Vanessa. After Vanessa gave away
14 of her marbles, Zoe had thrice as many marbles as Vanessa. How many marbles did Vanessa have at first?
| |
Zoe |
Vanessa |
Comparing Zoe
and Vanessa at first |
65 more |
|
| Before |
9 u |
4 u |
| Change |
|
- 1 u |
| After |
|
3 u |
Comparing Zoe
and Vanessa in the end |
3x3 =
9 u |
1x3 =
3 u |
The number of marbles that Zoe had at first and in the end remains unchanged. Make the number of marbles that Zoe had the same. LCM of 9 and 3 is 9.
Number of marbles that Zoe had more than Vanessa at first
= 9 u - 4 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Number of marbles that Vanessa had at first
= 4 u
= 4 x 13
= 52
Answer(s): 52
