Question

complete each percentage statement.
a 14% of is 70.
b 225% of is 81.
c 10% of is 100.

Explanation:

Step1: Solve part a

Let the number be \( x \). We know that \( 14\% \) of \( x \) is 70. Mathematically, this is \( 0.14x = 70 \). To find \( x \), we divide both sides by 0.14: \( x=\frac{70}{0.14}=500 \).

Step2: Solve part b

Let the number be \( y \). \( 225\% \) of \( y \) is 81, so \( 2.25y = 81 \). Dividing both sides by 2.25: \( y = \frac{81}{2.25}=36 \).

Step3: Solve part c

Let the number be \( z \). \( 10\% \) of \( z \) is 100, so \( 0.1z = 100 \). Dividing both sides by 0.1: \( z=\frac{100}{0.1}=1000 \).

Answer:

a. 500
b. 36
c. 1000