David and Almudena have between the two 225 euros. Calculate how much money each has if Almudena has 75 euros more than David.
For this case we propose a system of equations:
x: Let the variable that represents Almudena's amount of money
y: Let the variable that represents David's amount of money
According to the statement we have:
[tex]x + y = 225\\y + 75 = x[/tex]
Substituting the second equation into the first:
[tex]y + 75 + y = 225\\2y + 75 = 225\\2y = 225-75\\2y = 150\\y = \frac {150} {2}\\y = 75[/tex]
We find the value of the variable x:
[tex]x = 75 + 75 = 150[/tex]
Almudena has 150 euros
David has 75 euros
Answer:
Almudena has 150 euros
David has 75 euros
