Question

A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50.

Represent the linear system in an augmented matrix:
ANSWER IS
[ 1 ] [ 1 ] [ 75 ]
[ 2.5 ] [ 0.75 ] [ 262.5 ]

Answer 1

Answer:

[1] [1] [175]

[2.5] [0.75] [262.5]

# of hotdogs sold was 75

# of chips sold was 100

Step-by-step explanation:

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Answer 2

The number of hot dogs is 75 while the number of snacks is 100.

The linear equation to solve the question will be:

h + s = 175 ........ i

2.50h + 0.75s = 262.50 ........ ii

From equation i, s = 175 - h ..... iii

Put equation iii into ii

2.50h + 0.75s = 262.50

2.50h + 0.75(175 - h) = 262.50

2.50h + 131.25 - 0.75h = 262.50

Collect like terms

2.50h - 0.75h = 262.50 - 131.25

1.75h = 131.25

h = 131.25/1.75

h = 75

The number of hot dogs is 75 while the number of snacks is 100.

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