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2 votes
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?

User Zan RAKOTO
by
8.1k points

2 Answers

2 votes

Answer:

Explanation:

User Vivek Ranjan
by
8.3k points
4 votes

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.

User Wave
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7.2k points