Hazel has 3 times as many pencils as Diana. Diana has
45 as many pencils as Gillian. If the three of them have a total of 42 pencils, how many pencils does Gillian have?
| Hazel |
Diana |
Gillian |
| 3x4 |
1x4 |
|
| |
4x1 |
5x1 |
| 12 u |
4 u |
5 u |
The number of pencils that Diana has is repeated. Make the number of pencils that Diana has the same. LCM of 1 and 4 is 4.
Total number of pencils that the three of them have
= 12 u + 4 u + 5 u
= 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Number of pencils that Gillian has
= 5 u
= 5 x 2
= 10
Answer(s): 10
