Nora has 3 times as many coins as Jane. Jane has
57 as many coins as Shannon. If the three of them have a total of 324 coins, how many coins does Nora have?
Nora |
Jane |
Shannon |
3x5 |
1x5 |
|
|
5x1 |
7x1 |
15 u |
5 u |
7 u |
The number of coins that Jane has is repeated. Make the number of coins that Jane has the same. LCM of 1 and 5 is 5.
Total number of coins that the three of them have
= 15 u + 5 u + 7 u
= 27 u
27 u = 324
1 u = 324 ÷ 27 = 12
Number of coins that Nora has
= 15 u
= 15 x 12
= 180
Answer(s): 180