Respuesta :
Answer:
250 turkey sandwiches were delivered.
There were 230 roast beef delivered.
115 PB&J were delivered.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of turkey sandwiches.
y is the number of roast beef.
z is the number of PB&J.
Donnie delivered 595 box lunches
This means that [tex]x + y + z = 595[/tex]
There were 20 more turkey sandwiches then roast beef.
This means that [tex]x = y + 20[/tex]
There were twice as many roast beef has PB&J.
This means that [tex]y = 2z[/tex].
So in the second equation, we have that [tex]x = 2z + 20[/tex]
Replacing this in the first equation:
[tex]x + y + z = 595[/tex]
[tex]2z + 20 + 2z + z = 595[/tex]
[tex]5z = 575[/tex]
[tex]z = \frac{575}{5}[/tex]
[tex]z = 115[/tex]
115 PB&J were delivered.
[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]
250 turkey sandwiches were delivered.
[tex]x = y + 20[/tex]
So
[tex]y = x - 20 = 250 - 20 = 230[/tex]
There were 230 roast beef delivered.
