Question

Which equation can be used to find what percent 150 is of 400?

a. 150 = 400p
b. 150 = 250p
c. (400 - 150) = 150p
d. 150(400) = p

Answer 1

To find what percent 150 is of 400, the correct equation is 150 = 400p. Through solving this equation, we determine that 150 is 37.5% of 400.

To find what percent 150 is of 400, we are essentially looking for the value of p in the equation where 150 is p percent of 400. The correct equation which represents this scenario is 150 = 400p, because when you're looking for a percent, you want to compare your part (150) to the whole (400) using the formula part = whole × percent (p in this case).

Converting this formula into a percentage, we would divide 150 by 400 to isolate p:

1. Write down the equation: 150 = 400p.
2. Divide both sides by 400 to solve for p: p = 150 / 400.
3. Simplify the ratio to find the percent: p = 0.375.
4. Multiply by 100 to convert to a percentage: p × 100 = 37.5%.

So, 150 is 37.5% of 400.