Gillian, Yoko, Jack and Diana shared some marbles. Gillian and Yoko took
13 of the total number of marbles while Jack and Diana took the rest. Yoko had thrice as many marbles as Gillian and Diana had 30 marbles. Given that Diana had twice as many marbles as Yoko, how many marbles were there altogether?
Gillian |
Yoko |
Jack |
Diana |
Total |
1x4 |
2x4 |
3x4 |
1 |
3 |
|
|
|
|
1x3 |
|
2x3 |
|
1 u |
3 u |
2 u |
6 u |
12 u |
Number of marbles that Yoko had is repeated. Make the number of marbles that Yoko had the same. LCM of 3 and 1 is 3.
Number of marbles that Diana had = 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Total number of marbles
= 12 u
= 12 x 5
= 60
Answer(s): 60