Hint: Here we will let the ratio of Mario, Franco and Gina as 2x, 3x and 4x respectively and add them and equate them equal to total number of badges to get the value of x and then finally find the number of badges Mario gets.
Complete step-by-step answer:
Let the ratio of Mario be 2x
Let the ratio of Franco be 3x
Let the ratio of Gina be 4x
Now it is given that total number of badges are 153
Hence,
2x+3x+4x=153
Solving for x we get:-
9x=153
Dividing by 9 we get:-
x=1539
⇒x=17
Now since the share of Mario is 2x
Hence putting the value of x we get:-
share of Mario=2×17
Solving it we get:-
share of Mario=34badges
Hence Mario gets 34 badges.
Note: An alternative method to solve this problem is:-
Let us calculate the share of each of the three persons.
Hence, share of Mario is given by:-
share of Mario=22+3+4× total badges
share of Mario
=
2
2
+
3
+
4
×
total badges
Solving it further and putting the respective value we get:-
share of Mario=29× 153
share of Mario
=
2
9
×
153
Simplifying it we get:-
share of Mario=2×17
share of Mario
=
2
×
17
Solving it we get:
Hence Mario gets 34 badges.