Question

a snack cart sells lemonade for $2 and hot dogs for $5. the vendor sold 86 items today for a total of $330.which equation is true?

Answer 1

The equation in B is true.

We know this in two ways. Firstly, we know since it sold 86 items, that we have the amount of hot dogs (h) and then the amount of lemonade would be (86 - h), or how ever many is left over after the hot dogs.

Answer 2

There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs

First equation
x + y = 86
This says that the total sold hot dogs and lemonades add up to 86 sold.

Second equation
2x + 5y = 330
This says that $2 for each lemonade, $5 for each hot dog. The total amount earned is $330.

Only these two equations are true and needed.