Question

Donnie deli man delivered 595 box lunches for the robotics convention. There were 20 more turkey sandwiches then roast beef. There were twice as many roast beef has PB&J. How many of each type of BoxLunch did Donnie delivered?

Answer 1

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 $x + y + z = 595$

There were 20 more turkey sandwiches then roast beef.

This means that $x = y + 20$

There were twice as many roast beef has PB&J.

This means that $y = 2z$.

So in the second equation, we have that $x = 2z + 20$

Replacing this in the first equation:

$x + y + z = 595$

$2z + 20 + 2z + z = 595$

$5z = 575$

$z = \frac{575}{5}$

$z = 115$

115 PB&J were delivered.

$x = 2z + 20 = 2*115 + 20 = 250$

250 turkey sandwiches were delivered.

$x = y + 20$

So

$y = x - 20 = 250 - 20 = 230$

There were 230 roast beef delivered.