Diana has 4 times as many pencils as Lucy. Lucy has
35 as many pencils as Gillian. If the three of them have a total of 200 pencils, how many pencils does Diana have?
| Diana |
Lucy |
Gillian |
| 4x3 |
1x3 |
|
| |
3x1 |
5x1 |
| 12 u |
3 u |
5 u |
The number of pencils that Lucy has is repeated. Make the number of pencils that Lucy 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 = 200
1 u = 200 ÷ 20 = 10
Number of pencils that Diana has
= 12 u
= 12 x 10
= 120
Answer(s): 120
