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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?

Sagot :

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:

[tex]2\text{ + 3y }[/tex]

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

[tex]\text{ 6 + y}[/tex]

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

[tex]2\text{ + 3y =6 + y}[/tex]

collecting like terms, we have that:

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

CONCLUSION:

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