Penelope has 4 times as many pencils as Dana. Dana has
37 as many pencils as Victoria. If the three of them have a total of 176 pencils, how many pencils does Penelope have?
| Penelope |
Dana |
Victoria |
| 4x3 |
1x3 |
|
| |
3x1 |
7x1 |
| 12 u |
3 u |
7 u |
The number of pencils that Dana has is repeated. Make the number of pencils that Dana has the same. LCM of 1 and 3 is 3.
Total number of pencils that the three of them have
= 12 u + 3 u + 7 u
= 22 u
22 u = 176
1 u = 176 ÷ 22 = 8
Number of pencils that Penelope has
= 12 u
= 12 x 8
= 96
Answer(s): 96
