Question

David y Almudena tienen entre los dos 225 euros. Calcula cuánto dinero tiene cada uno si Almudena posee 75 euros más que David.

Answer 1

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:

$x + y = 225\\y + 75 = x$

Substituting the second equation into the first:

$y + 75 + y = 225\\2y + 75 = 225\\2y = 225-75\\2y = 150\\y = \frac {150} {2}\\y = 75$

We find the value of the variable x:

$x = 75 + 75 = 150$

Almudena has 150 euros

David has 75 euros

Answer:

Almudena has 150 euros

David has 75 euros