Question

On a given day there were a total of 5 people on

an elevator with a total weight of 570 pounds.
Assume an adult weighs 180 pounds and a child
weighs 70 pounds.
Write a system of equations to represent this
situation. Use "a" to represent adults and "c" to
represent children.
What would be an accurate constraint on "a" in
the context?

Answer 1

Explanation:

Answer 2

0 ≤ a ≤ 5 would be an accurate constraint on "a" in the context.

Let's assume "a" represents the number of adults and "c" represents the number of children. Since there are a total of 5 people on the elevator, we can represent this with the following equation:

a + c = 5

Additionally, we know that the total weight of 5 people is 570 pounds. Since an adult weighs 180 pounds and a child weighs 70 pounds, we can represent this with the following equation:

180a + 70c = 570

This system of equations accurately represents the given situation.

As for an accurate constraint on "a", we know that there cannot be a negative number of adults on the elevator. Therefore, "a" must be a non-negative integer.

Additionally, since there are a total of 5 people, we know that "a" cannot be greater than 5. Therefore, 0 ≤ a ≤ 5 would be an accurate constraint on "a" in the context.