Betty had 78 more coins than Gabby. After Gabby gave away
14 of her coins, Betty had twice as many coins as Gabby. How many coins did Gabby have at first?
|
Betty |
Gabby |
Comparing Betty and Gabby at first |
78 more |
|
Before |
6 u |
4 u |
Change |
|
- 1 u |
After |
|
3 u |
Comparing Betty and Gabby in the end |
2x3 = 6 u |
1x3 = 3 u |
The number of coins that Betty had at first and in the end remains unchanged. Make the number of coins that Betty had the same. LCM of 6 and 2 is 6.
Number of coins that Betty had more than Gabby at first
= 6 u - 4 u
= 2 u
2 u = 78
1 u = 78 ÷ 2 = 39
Number of coins that Gabby had at first
= 4 u
= 4 x 39
= 156
Answer(s): 156