IDNLearn.com: Your trusted platform for finding precise and reliable answers. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

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?

Sagot :

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:

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!!