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11 days ago

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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:

2 answers:

lawyer [12.5K]11 days ago

7 0

Let x represent the hot dogs

and y represent the snacks

The equation x + y = 175

Rewrite x as 175 - y

And the second equation: 2.50x + 0.75y = 262.50

Substitute to get 2.50(175 - y) + 0.75y = 262.50

Which simplifies to 437.50 - 2.50y + 0.75y = 262.50

Rearranging gives -1.75y = -175

Hence, solving for y results in y = -175 / -1.75 = 100

Thus, 100 snacks and 75 hot dogs were sold

babunello [11.8K]11 days ago

3 0

The result is 100 snacks and 75 hot dogs

I hope this was helpful

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