Diana has 3 times as many cards as Gwen. Gwen has
45 as many cards as Nicole. If the three of them have a total of 231 cards, how many cards does Diana have?
Diana |
Gwen |
Nicole |
3x4 |
1x4 |
|
|
4x1 |
5x1 |
12 u |
4 u |
5 u |
The number of cards that Gwen has is repeated. Make the number of cards that Gwen has the same. LCM of 1 and 4 is 4.
Total number of cards that the three of them have
= 12 u + 4 u + 5 u
= 21 u
21 u = 231
1 u = 231 ÷ 21 = 11
Number of cards that Diana has
= 12 u
= 12 x 11
= 132
Answer(s): 132