Barbara had 168 less chocolate bars than Penelope. Penelope used
78 of her chocolate bars and Barbara used
23 of her chocolate bars. In the end, Penelope had 3 times as much as Barbara. Find the number of chocolate bars that Penelope had at first.
| |
Penelope |
Barbara |
Comparing Penelope
and Parry at first |
|
168 less |
| Before |
8x3 =
24 u |
3 u |
| Change |
- 7x3 =
- 21 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Penelope
and Parry in the end |
3 u |
1 u |
The number of chocolate bars that Penelope had in the end is repeated. Make the number of chocolate bars that Penelope had in the end the same. LCM of 1 and 3 is 3.
Number of chocolate bars that Barbara had less than Penelope
= 24 u - 3 u
= 21 u
21 u = 168
1 u = 168 ÷ 21 = 8
Number of chocolate bars that Penelope had at first
= 24 u
= 24 x 8
= 192
Answer(s): 192
