Gem, Vanessa, Charlie and Lynn shared some buttons. Gem and Vanessa took
16 of the total number of buttons while Charlie and Lynn took the rest. Vanessa had thrice as many buttons as Gem and Lynn had 60 buttons. Given that Lynn had four times as many buttons as Vanessa, how many buttons were there altogether?
Gem |
Vanessa |
Charlie |
Lynn |
Total |
1x4 |
5x4 |
6x4 |
1 |
3 |
|
|
|
|
1x3 |
|
4x3 |
|
1 u |
3 u |
8 u |
12 u |
24 u |
Number of buttons that Vanessa had is repeated. Make the number of buttons that Vanessa had the same. LCM of 3 and 1 is 3.
Number of buttons that Lynn had = 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Total number of buttons
= 24 u
= 24 x 5
= 120
Answer(s): 120