Question

Nick’s pond was stocked with 50 fish and an additional 5 fish are added each week. Mark’s pond was stocked with 15 fish and an additional 10 fish are added each week. Assuming no fish die or are removed, in how many weeks will Mark’s pond have more fish in it than Nick’s?

A) 1 week

B) 2 weeks

C) 3 weeks

D) 4 weeks

Answer 1

C) 3 weeks. To determine the number of weeks it will take for Mark's pond to have more fish than Nick's, set up an inequality and solve for x. The answer is 3 weeks.

Step-by-step explanation:

To determine the number of weeks it will take for Mark's pond to have more fish than Nick's, we can set up an equation.

Let x represent the number of weeks.

For Nick's pond, the number of fish can be found using the equation: 50 + 5x.

For Mark's pond, the number of fish can be found using the equation: 15 + 10x.

We want to find the value of x when Mark's pond has more fish, so we can set up the inequality: 15 + 10x > 50 + 5x.

Now, we can solve the inequality:

15 + 10x - 5x > 50

15 + 5x > 50

5x > 35

x > 7

Therefore, it will take more than 7 weeks for Mark's pond to have more fish than Nick's pond.

Option D) 4 weeks is incorrect. The correct answer is:

Answer: C) 3 weeks