Type the missing number to complete the proportion. 40 rooms on 2 floors = ___ rooms on 4 floors.
Understand the Problem
The question is asking to find the missing number in a proportion involving the number of rooms related to the number of floors. We can set up a proportion to solve for the missing value.
Answer
The missing number is \( 80 \).
Answer for screen readers
The missing number is ( 80 ).
Steps to Solve
- Set up the proportion
We have the proportion: $$ \frac{40 \text{ rooms}}{2 \text{ floors}} = \frac{x \text{ rooms}}{4 \text{ floors}} $$ where ( x ) is the missing number of rooms.
- Cross multiply
To solve for ( x ), we will cross multiply: $$ 40 \text{ rooms} \times 4 \text{ floors} = 2 \text{ floors} \times x \text{ rooms} $$
- Simplify the equation
This gives us: $$ 160 = 2x $$
- Solve for ( x )
Now, divide both sides by 2: $$ x = \frac{160}{2} $$
- Find the value of ( x )
This simplifies to: $$ x = 80 $$
The missing number is ( 80 ).
More Information
Proportions are useful for solving problems involving ratios. This particular problem illustrates how a proportion can be used to maintain a consistent relationship between quantities.
Tips
- Forgetting to cross multiply correctly.
- Not simplifying the equation after cross multiplication.
- Misplacing values when solving for the missing number.
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