Usha, Xylia, Billy and Xandra shared some coins. Usha and Xylia took
15 of the total number of coins while Billy and Xandra took the rest. Xylia had thrice as many coins as Usha and Xandra had 18 coins. Given that Xandra had thrice as many coins as Xylia, how many coins were there altogether?
Usha |
Xylia |
Billy |
Xandra |
Total |
1x4 |
4x4 |
5x4 |
1 |
3 |
|
|
|
|
1x3 |
|
3x3 |
|
1 u |
3 u |
7 u |
9 u |
20 u |
Number of coins that Xylia had is repeated. Make the number of coins that Xylia had the same. LCM of 3 and 1 is 3.
Number of coins that Xandra had = 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Total number of coins
= 20 u
= 20 x 2
= 40
Answer(s): 40