Barbara has 4 times as many pencils as Victoria. Victoria has
35 as many pencils as Fiona. If the three of them have a total of 100 pencils, how many pencils does Barbara have?
| Barbara |
Victoria |
Fiona |
| 4x3 |
1x3 |
|
| |
3x1 |
5x1 |
| 12 u |
3 u |
5 u |
The number of pencils that Victoria has is repeated. Make the number of pencils that Victoria has the same. LCM of 1 and 3 is 3.
Total number of pencils that the three of them have
= 12 u + 3 u + 5 u
= 20 u
20 u = 100
1 u = 100 ÷ 20 = 5
Number of pencils that Barbara has
= 12 u
= 12 x 5
= 60
Answer(s): 60
