Question

At a little league baseball concession stand, the Smith family bought 3 hamburgers and 4 pieces of pizza for $8.50. The Rodriguez family bought 2 hamburgers, 3 nachos, and 1 piece of pizza for $7.75. The Johnson family bought 4 nachos and 2 pieces of pizza for $7.00.To figure out how much each food item cost, Richard set up the following matrix.



⎡
⎢
⎣
3
a
b
8
.
50
2
c
d
7
.
75
e
4
f
7
.
00
⎤
⎥
⎦



Enter the number that should replace a.

Answer 1

0

The augmented matrix rows represent [hamburgers, nachos, pizza | total]. The Smiths bought 3 hamburgers and 4 pizzas but no nachos, so the nachos coefficient is 0.