Answer:
Mario has 90 pesos, while Sebastian only 30.
Step-by-step explanation:
Let's say that Sebastian's pesos are hidden in a box called X. And we know that Sebastian has three X boxes. If we think of it as a mathematical equation it would come out as:
[tex]3x + x = 120[/tex]
Now, how do we know the total quantity of Sebastian's pesos?
We first gotta sum up all of the X boxes in the equation and it would come out as:
[tex]4x = 120[/tex]
And if we divide 120 by the quantity of the total X boxes, we would get the next mathematical equation:
[tex]X = \frac{120}{4}\\X = 30[/tex]
One X box would have a total of 30 pesos. Sebastian's pesos. And we know that Mario has three times the amount of Sebastian's pesos, right?
So... Mario would have three X boxes. 3 times 30.
[tex]3 X\\3 (30)\\90[/tex]
A way to confirm this is by replacing 30 all the exes in the original equation and get 120 as a result.
[tex]3X + X = 120\\3(30) + 30 = 120\\90 + 30 = 120\\120 = 120[/tex]
See ya!
