Question: If A is to B as C is to D, then if A = 2 and B = 4, what is C if D = 8?
Options:
4
6
2
10
Correct Answer: 4
Solution:
The relationship is multiplication by 2; thus, C must be 4 to make D = 8.
If A is to B as C is to D, then if A = 2 and B = 4, what is C if D = 8?
Practice Questions
Q1
If A is to B as C is to D, then if A = 2 and B = 4, what is C if D = 8?
4
6
2
10
Questions & Step-by-Step Solutions
If A is to B as C is to D, then if A = 2 and B = 4, what is C if D = 8?
Step 1: Identify the relationship between A and B. A is 2 and B is 4.
Step 2: Determine how A relates to B. Since 2 multiplied by 2 equals 4, the relationship is multiplication by 2.
Step 3: Apply the same relationship to C and D. We know D is 8.
Step 4: Since C must also be multiplied by 2 to equal D, we set up the equation: C * 2 = 8.
Step 5: Solve for C by dividing both sides of the equation by 2: C = 8 / 2.
Step 6: Calculate the result: C = 4.
Proportional Relationships – Understanding the relationship between pairs of numbers and how they relate to each other through multiplication or division.
Algebraic Manipulation – Solving for an unknown variable using known values and relationships.
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