Question

A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.

Answer 1

Solutions

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

Equation # 1

x + y = 86

This says that the vendor sold 86 items.

Equation # 2

2x + 5y = 330

= $2 for each lemonade
= $5 for each hot dog.

= total amount earned is $330.

Only these two equations are true and needed.

Answer 2

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.