Question

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775

Answer 1

Answer:

$x+y = 125$   (1)

$5x+8y = 775$   (2)

We can solve for y from equation (1) and we got:

$y = 125-x$   (3)

And replacing (3) into (2) we got:

$5x +8(125-x) = 775$

And solving for x we got:

$1000-3x = 775$

$3x= 225$

$x=75$

And solving for y from (3) we got:

$x= 125-75 =50$

And the solution would be x = 50 and y =75

Step-by-step explanation:

For this problem we have the following system of equations:

$x+y = 125$   (1)

$5x+8y = 775$   (2)

We can solve for y from equation (1) and we got:

$y = 125-x$   (3)

And replacing (3) into (2) we got:

$5x +8(125-x) = 775$

And solving for x we got:

$1000-3x = 775$

$3x= 225$

$x=75$

And solving for y from (3) we got:

$x= 125-75 =50$

And the solution would be x = 50 and y =75