Question

fill in the blank 1 point
find the part
64% of 250 is what number?

fill in the blank 1 point
find the whole
19 is 6% of what number?

Explanation:

Step1: Convert percentage to decimal

To find \(64\%\) of \(250\), first convert \(64\%\) to a decimal. \(64\%=\frac{64}{100} = 0.64\)

Step2: Calculate the value

Multiply the decimal by \(250\). \(0.64\times250=(0.6 + 0.04)\times250=0.6\times250+0.04\times250 = 150+10=160\)

Step3: Set up equation for the second problem

Let the number be \(x\). We know that \(54 = 60\%\times x\). Since \(60\%=\frac{60}{100}=0.6\), the equation is \(54 = 0.6x\)

Step4: Solve for \(x\)

Divide both sides of the equation \(54 = 0.6x\) by \(0.6\). \(x=\frac{54}{0.6}=\frac{540}{6}=90\)

Answer:

For \(64\%\) of \(250\): \(160\)
For \(54\) is \(60\%\) of what number: \(90\)