Yen had 182 less lollipops than Penelope. Penelope used
67 of her lollipops and Yen used
12 of her lollipops. In the end, Penelope had 4 times as much as Yen. Find the number of lollipops that Penelope had at first.
|
Penelope |
Yen |
Comparing Penelope and Parry at first |
|
182 less |
Before |
7x4 = 28 u |
2 u |
Change |
- 6x4 = - 24 u |
- 1 u |
After |
1x4 = 4 u |
1 u |
Comparing Penelope and Parry in the end |
4 u |
1 u |
The number of lollipops that Penelope had in the end is repeated. Make the number of lollipops that Penelope had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Yen had less than Penelope
= 28 u - 2 u
= 26 u
26 u = 182
1 u = 182 ÷ 26 = 7
Number of lollipops that Penelope had at first
= 28 u
= 28 x 7
= 196
Answer(s): 196