Question

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much would it cost to order 5 pizzas and 6 orders of breadsticks?

Answer 1

$54.50

Explanation:

3 pizzas + 2 breadsticks = $29.50

2 pizzas + 3 breadsticks = $23

5 pizzas + 6 breadsticks = $x

multipy first equation by 3 and second by -2

9 pizzas + 6 breadsticks = $88.50

-4 pizzas -6 breadsticks = $-46

add the equations up, 9-4 pizzas + 6-6 breadsticks = $88.50-46

5 pizzas = $42.50 , divide by 5 both sides

1 pizza = $8.50

Substitute the price of a pizza, 2 pizzas + 3 breadsticks = $23

2*8.50 + 3breadstiks = $23

17 + 3 breadsticks = $23 subtract 17 from both sides so

3 breadsticks = $23 -$17 divide by 3

1 breadstick = 6/3= $2

$5*8.50 for pizzas + $6*2 for breadsticks = $54.50