Question

Can someone please help?

Answer 1

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

"There are at most 12 bicycles and tricycles in a school playground."

"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

"There are at least 17 wheels altogether."

"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

That can be written as 2b + 3t ≥ 17.

Our final system of inequalities:

b + t ≤ 12

2b + 3t ≥ 17

This matches option C.

Hope this helps!