Shannon, Cindy, Wesley and Gwen shared some cards. Shannon and Cindy took
15 of the total number of cards while Wesley and Gwen took the rest. Cindy had four times as many cards as Shannon and Gwen had 176 cards. Given that Gwen had four times as many cards as Cindy, how many cards were there altogether?
Shannon |
Cindy |
Wesley |
Gwen |
Total |
1x5 |
4x5 |
5x5 |
1 |
4 |
|
|
|
|
1x4 |
|
4x4 |
|
1 u |
4 u |
4 u |
16 u |
25 u |
Number of cards that Cindy had is repeated. Make the number of cards that Cindy had the same. LCM of 4 and 1 is 4.
Number of cards that Gwen had = 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Total number of cards
= 25 u
= 25 x 11
= 275
Answer(s): 275