Once upon a sunny day, me and my 12 buddies wanted to rent some boats for a fun time at the lake. We had some money to spend. Let's say we had $250 to rent the boats. Each boat cost us $40 to rent.
So, to figure out how many boats we could rent, we can make an inequality. Let's call the number of boats "x." The inequality would be:
40x ≤ 250
Now, we saw a sign at the boat place that said each boat has a weight limit. The boats could carry a total weight of, let's say, 800 pounds. Since we each weighed around 150 pounds, we can calculate how many of us could fit in a boat.
Let's call the number of friends that could fit in each boat "y." The inequality would be:
150y ≤ 800
Now, let's solve these inequalities!
First, for the number of boats:
40x ≤ 250
x ≤ 6.25
Since you can't have a fraction of a boat, we round down to the nearest whole number. So, we could rent a maximum of 6 boats with $250.
Next, for the number of friends in each boat:
150y ≤ 800
y ≤ 5.33
Again, we round down to the nearest whole number. So, each boat can fit a maximum of 5 friends.
Based on these solutions, the minimum number of boats we need to rent is 1, because we have at least 12 friends and each boat can fit 5 friends.
Now, let's write a proposal to our friends about how many boats we should rent.
Hey friends,
I hope you're all excited for our boat adventure at the lake! We have $250 for boat rentals, and each boat costs $40 to rent. Based on our budget, we can rent a maximum of 6 boats. However, each boat can only fit a maximum of 5 people, considering the weight limit of 800 pounds.
Our options for the number of boats we could rent are:
- Renting 1 boat: This option allows all of us to have a fun time on the lake but may limit our flexibility and space.
- Renting 2 boats: With 2 boats, we'll have more room to enjoy ourselves and move around.
- Renting 3 or more boats: The more boats we rent, the more space and freedom we'll have.
Considering our budget and the number of friends we have, I think the best option would be to rent 2 boats. This way, we will have enough room for everyone, and it won't strain our budget too much.
Let's have a fantastic time on the lake together!
Your friend,
[Your Name]
Read the following real-world story problem. Fill in blanks with values of your choice according to the specifications. Answer the questions as they are asked. It is a beautiful day, and 12 friends decide to rent some boats to take out on the lake. The friends have [choose an amount of money between $200 and $350] to spend on renting boats. Each boat costs [choose an amount of money between $30 and $50] to rent. Write and solve an inequality that represents the number of boats the friends could rent based on the amount of money they have. The friends read the sign advertising the boats and learn that each boat has a [choose a weight between 750 pounds and 900 pounds] weight limit. The friends know that they each weigh on average 150 pounds. Write and solve an inequality that represents the number of friends that could fit in each boat. Based on this information, what is the minimum number of boats they need to rent? Use the information from the solutions to your inequalities to write a proposal to the friends about how many boats they should rent. Be sure to explain all their options for the number of boats they could rent, which option you think is best, and why.
write like a 12 yea old but keep it formal
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1 answer