Jen had 65 more chocolate bars than Penelope. Jen used
34 of her chocolate bars and Penelope used
23 of her chocolate bars. In the end, Jen had 4 times as much as Penelope. Find the number of chocolate bars that Penelope had at first.
|
Jen |
Penelope |
Comparing Jen and Parry at first |
65 more |
|
Before |
4x4 = 16 u |
3 u |
Change |
- 3x4 = - 12 u |
- 2 u |
After |
1x4 = 4 u |
1 u |
Comparing Jen and Parry in the end |
4 u |
1 u |
The number of chocolate bars that Jen had in the end is repeated. Make the number of chocolate bars that Jen had in the end the same. LCM of 1 and 4 is 4.
Number of chocolate bars that Jen had more than Penelope
= 16 u - 3 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of chocolate bars that Penelope had at first
= 3 u
= 3 x 5
= 15
Answer(s): 15