Question

Marcus does inventory of his bike shop by counting the number of seats and wheels. Currently, his store only holds bicycles (2 wheels) and tricycles (3 wheels).

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One day, Marcus counts 14 seats and 36 wheels. The equation representing the total number of seats is b+t=14
where b
is the number of bicycles and t
is the number of tricycles.

Which equation, in standard form (Ax+By=C), represents the number of wheels for the situation given.

Group of answer choices

Answer 1

To represent the number of wheels in standard form, we start with the information given:

- Each bicycle (b) has 2 wheels.
- Each tricycle (t) has 3 wheels.

The total number of wheels counted is 36. We can express this relationship with the following equation:

\[ 2b + 3t = 36 \]

This equation shows that the total number of wheels (2 wheels for each bicycle and 3 wheels for each tricycle) equals 36.

Now, we want to put this equation in standard form \(Ax + By = C\). In this case:

- Let \(A = 2\),
- Let \(B = 3\),
- Let \(C = 36\).

Thus, the equation \(2b + 3t = 36\) is already in standard form, where:

- \(A = 2\),
- \(B = 3\),
- \(C = 36\).

So, the equation representing the total number of wheels is:

\[ 2b + 3t = 36 \]