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jim sells hot dogs for 2 95 each and steak sandwiches for 9 95 each out of his food cart during a busy outdoor festival he

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Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?

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Answer to a math question Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?

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87 Answers

Let x be number of hot dogs and y be number of steak sandwiches.

1. Start with the two equations:

x + y = 985

2.95x + 9.95y = 7343.75

2. Express

\( x \)

in terms of

\( y \)

using the first equation:

x = 985 - y

3. Substitute

\( x = 985 - y \)

in the second equation:

2.95(985 - y) + 9.95y = 7343.75

4. Distribute

\( 2.95 \)

in the equation:

2905.75 - 2.95y + 9.95y = 7343.75

5. Combine like terms:

2905.75 + 7y = 7343.75

6. Subtract 2905.75 from both sides of the equation:

7y = 4438

7. Divide both sides by 7:

y = 634

Hence, the number of steak sandwiches sold is

\( y = 634 \)

.

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