414,232 views
42 votes
42 votes
Barbara has a bunny that weighs 2 pounds and gains 3 pounds per year. Her cat weighs 6 pounds andgains 1 pound per year. When will the bunny and the cat weigh the same amount?

User Nneoma
by
2.7k points

1 Answer

25 votes
25 votes

SOLUTION:

Step 1:

In this question, we are given the following:

Barbara has a bunny that weighs 2 pounds and gains 3 pounds

per year which means:


2\text{ + 3y }

Her cat weighs 6 pounds and gains 1 pound per year which means:


\text{ 6 + y}

When will the bunny and the cat weigh the same amount means:


2\text{ + 3y =6 + y}

collecting like terms, we have that:


\begin{gathered} 3y\text{ - y = 6 - 2} \\ 2y\text{ = 4} \\ \text{Divide both sides by 2, we have that:} \\ y\text{ = }(4)/(2) \\ y\text{ = 2} \end{gathered}

CONCLUSION:

The bunny and the cat will weigh the same amount in 2 years' time.

User Matt Mangold
by
2.5k points