Question

Nolan loves floating in the pool with his rock collection. His float can only hold 80 pounds before it starts taking on water and getting his rock collection wet. Nolan doesn't like to get his rock collection wet! The last time he went to the doctor Nolan weighed 47 pounds. Write an inequality that shows the number of 4-pound rocks Nolan can take on his float with him.

a) 4x = 80 - 47
b) 4x = 80 - 47
c) 4x < 80 - 47
d) 4x > 80 - 47

Answer 1

Nolan can take a maximum of 8 rocks on his float.

Step-by-step explanation:

To determine the number of 4-pound rocks Nolan can take on his float, we need to set up an inequality. Let's call the number of rocks 'x'.

The weight of the rocks can be represented as 4x, and the weight Nolan's float can hold is 80 pounds. So, the inequality is 4x ≤ 80 - 47.

Simplifying the inequality, we have 4x ≤ 33. Dividing both sides by 4, we get x ≤ 8.25.

Since Nolan cannot have a fraction of a rock, the maximum number of 4-pound rocks he can take is 8.