Jane, Opal, Harry and Elyse shared some cards. Jane and Opal took
15 of the total number of cards while Harry and Elyse took the rest. Opal had twice as many cards as Jane and Elyse had 40 cards. Given that Elyse had four times as many cards as Opal, how many cards were there altogether?
Jane |
Opal |
Harry |
Elyse |
Total |
1x3 |
4x3 |
5x3 |
1 |
2 |
|
|
|
|
1x2 |
|
4x2 |
|
1 u |
2 u |
4 u |
8 u |
15 u |
Number of cards that Opal had is repeated. Make the number of cards that Opal had the same. LCM of 2 and 1 is 2.
Number of cards that Elyse had = 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total number of cards
= 15 u
= 15 x 5
= 75
Answer(s): 75