Jane had 112 more chocolate bars than Fiona. Jane used
56 of her chocolate bars and Fiona used
12 of her chocolate bars. In the end, Jane had 3 times as much as Fiona. Find the number of chocolate bars that Fiona had at first.
|
Jane |
Fiona |
Comparing Jane and Parry at first |
112 more |
|
Before |
6x3 = 18 u |
2 u |
Change |
- 5x3 = - 15 u |
- 1 u |
After |
1x3 = 3 u |
1 u |
Comparing Jane and Parry in the end |
3 u |
1 u |
The number of chocolate bars that Jane had in the end is repeated. Make the number of chocolate bars that Jane had in the end the same. LCM of 1 and 3 is 3.
Number of chocolate bars that Jane had more than Fiona
= 18 u - 2 u
= 16 u
16 u = 112
1 u = 112 ÷ 16 = 7
Number of chocolate bars that Fiona had at first
= 2 u
= 2 x 7
= 14
Answer(s): 14