Hazel had 146 more marbles than Mary. After Mary gave away
14 of her marbles, Hazel had twice as many marbles as Mary. How many marbles did Mary have at first?
| |
Hazel |
Mary |
Comparing Hazel
and Mary at first |
146 more |
|
| Before |
6 u |
4 u |
| Change |
|
- 1 u |
| After |
|
3 u |
Comparing Hazel
and Mary in the end |
2x3 =
6 u |
1x3 =
3 u |
The number of marbles that Hazel had at first and in the end remains unchanged. Make the number of marbles that Hazel had the same. LCM of 6 and 2 is 6.
Number of marbles that Hazel had more than Mary at first
= 6 u - 4 u
= 2 u
2 u = 146
1 u = 146 ÷ 2 = 73
Number of marbles that Mary had at first
= 4 u
= 4 x 73
= 292
Answer(s): 292
