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 much steak sandwiches did he sell?

Answer 1

let x be hot dog

y be steak sandwiches

x+y=985

2.95x+9.95y=$7343.75

x=351 and y=634

Answer 2

Answer: He sold 634 steak sandwiches.

Explanation:

Let x denotes the number of hot dogs and y denotes the number of steak sandwiches.

According to the given statements , we have

`x+y=985-----------(1)\\\\ 2.95x+9.95y=7343.75----------------(2)`

Multiply 2.95 to equation (1) , we get

`2.95x+2.95y=2.95(985)`

`2.95x+2.95y=2905.75` (3)

Eliminate equation (2) from equation (3) , we get

`7y=4438\\\\\Rightarrow\ y=(4438)/(7)\\\\\Rightarrow\ y=634`

Hence, he sold 634 steak sandwiches.