When building a mini-boat, a boat builder uses 1 pound of wood and 2 ounces of glue.

If he/she has 9 pounds of wood and 6 ounces of glue, how many mini-boat(s) will he/she be able to build?

Question

When building a mini-boat, a boat builder uses 1 pound of wood and 2 ounces of glue.

If he/she has 9 pounds of wood and 6 ounces of glue, how many mini-boat(s) will he/she be able to build?

BlackTom AI · Accepted Answer

Each mini-boat requires 1 pound of wood and 2 ounces of glue.

1. Relevant knowledge points and concepts
- This is a resource-limited (rate) problem: the total number of items you can make equals the minimum of (available_resource / required_per_item) over all resources.
- Units must be consistent for each resource; here wood is in pounds and glue in ounces and the recipe matches those units, so no conversion is necessary.
- The result must be a whole number of boats (you cannot build a fractional boat).

2. Step-by-step reasoning
- Compute how many boats the wood alone would allow.
- Compute how many boats the glue alone would allow.
- The actual number of boats is the smaller of those two numbers (the limiting resource).

3. Calculations with intermediate steps
- Wood limit: available wood = 9 pounds; requirement = 1 pound per boat.
  9 pounds ÷ 1 pound/boat = 9 boats (from wood).
- Glue limit: available glue = 6 ounces; requirement = 2 ounces per boat.
  6 ounces ÷ 2 ounces/boat = 3 boats (from glue).
- Take the minimum: min(9, 3) = 3 boats. Also note you can’t build partial boats, so 3 is an integer.

4. Why the correct answer is correct
- Glue is the limiting resource because it allows only 3 boats while wood would allow 9. Therefore the builder can make only 3 complete mini-boats before running out of glue.

5. Why the other options are incorrect
- Zero: incorrect because there are sufficient materials for at least one boat.
- One and Two: incorrect because glue and wood together permit 3 full boats, so these undercount the maximum possible.
- None of the above: incorrect because “three” is an available option and is the correct count.

6. Conclusion
The maximum number of mini-boats that can be built is three, which matches the provided correct answer: three.

When building a mini-boat, a boat builder uses 1 pound of wood and 2 ounces of glue. If he/she has 9 pounds of wood and 6 ounces of glue, how many mini-boat(s) will he/she be able to build?Single choice

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