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 ,am steal sandwiches did he sell?

Answer 1

Step-by-step explanation:

x + y = 985

2.95x + 9.95y = 7343.75

-2.95x - 2.95y = -2905.75

7y = 4438

y= 634 steak sandwiches

x + 634 = 985

x = 351 hot dogs

Answer 2

Answer:

634 steak sandwiches

Step-by-step explanation:

h = hot dogs

s = steak sandwiches

First, lets make 2 equations.

2.95h + 9.95s = 7343.75

h + s = 985

We can make the second equation h = 985 - s

Now substitute h into the first equation.

2.95(985 - s) + 9.95s = 7343.75

Distribute the 2.95

2905.75 - 2.95s + 9.95s = 7343.75

Simplify s

2905.75 + 7s = 7343.75

Subtract 2905.75 from both sides

7s = 4438

s = 634

If h = 985 - s and s = 634 we can find h by subtracting 634 from 985

985 - 634 = 351

Now to check:

351 times 2.95 = 1035.45

634 times 9.95 = 6308.3

6308.3 + 1035.45 = 7343.75 so that means our answer is correct.

Hope this helps!!