12 friends decided to rent some boats. The friends have $250 to spend on boats. If each boat cost $50 to rent. Write and solve an inequality that represents the number of boats the friends could rent based on the amount of money that have
Let's say the number of boats the friends can rent is represented by the variable 'b'. Since each boat costs $50, the total cost of renting 'b' boats would be 50b.
To find the number of boats the friends can rent based on the amount of money they have, we can set up the following inequality:
50b ≤ 250
Dividing both sides of the inequality by 50, we get:
b ≤ 5
Therefore, the friends can rent a maximum of 5 boats with their $250.
The 12 friends learn that each boat has a 800 pound weight limit. The friends know that in average they all weigh 150 pounds. Write and solve an inequality that represents the number of friends that could fit in each boat. Based on the information what is the minimum number of boats they need to rent
Let's say the number of friends that can fit in each boat is represented by the variable 'f'. Since the average weight of each friend is 150 pounds, the total weight of 'f' friends would be 150f.
To find the number of friends that can fit in each boat based on the weight limit of 800 pounds, we can set up the following inequality:
150f ≤ 800
Dividing both sides of the inequality by 150, we get:
f ≤ 5.33
Since we can't have a fraction of a friend, we round down to the nearest whole number. Therefore, the maximum number of friends that can fit in each boat is 5.
Since there are 12 friends in total, and each boat can hold a maximum of 5 friends, we divide the total number of friends by the maximum number of friends that can fit in each boat to find the minimum number of boats needed:
12 / 5 = 2.4
Again, we round up to the nearest whole number. Therefore, the minimum number of boats they need to rent is 3.