9514 1404 393
Answer:
125
Step-by-step explanation:
The proportion you want is ...
[tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]
52% of 125 is 65.
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Comment on the formulation
You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...
whole/part = 100/52 = ?/65
Then the solution is one step: multiply by 65.
