# Percentage Calculation Problems

(1) The minimum daily values (MDV's) for certain foods are given. They are based on a 2,000 calorie per day diet. Find decimal and fractional notation for the percent notation in each sentence.

a). 1 ounce of Tostitos provides 9% of the MDV of fat

c). ½ cup of Campbell's New England clam chowder provides 6% of the MDV of iron.

(2) Identify the rate, base, and amount in each statement or question. Do not solve the exercise at this point.

150 is 75% of what number?

In a shipment of 750 parts, 75 were found to defective. What percent of the parts were faulty?

(3) Solve each of the following applications.

Ms. Jordan has been given a loan of $2,500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?

A school had 900 students at the start of a school year. If there is an enrollment increase of 7% by the beginning of the next year, what is the new enrollment?

A virus scanning program is checking every file for viruses. It has completed checking 40% for the files in 300 seconds. How long should it take to check all the files?

Gasoline accounts for 85% of the motor fuel consumed in the United States every day. If 8.882 thousand barrels (bbl) of motor fuel is consumed each day, how much gasoline is consumed each day in the United States? Round to the nearest barrel.

Yi Chen made a 6,400 investment at the beginning of a year. By the end of the year, the value of the investment had decreased by 8.2% . What was its value at the end of the year?

***See attached file.***

#### Solution Preview

The minimum daily values (MDV's) for certain foods are given. They are based on a 2,000 calorie per day diet. Find decimal and fractional notation for the percent notation in each sentence.

a). 1 ounce of Tostitos provides 9% of the MDV of fat

The percent mentioned is 9%. This is the same as 0.09 in decimal form. To go from percent form to decimal form, move the decimal point 2 places to the left (so 9%, or 009.0% turns into 0.09 after moving the decimal point).

The number 0.09 is the same as 9/100 in fractional form. In the number 0.09, the 9 is in the hundredths spot, so you put 9 over 100 to make it a fraction (similarly, if you were dealing with 0.009, where the 9 is in the thousandths spot, the fraction would be 9/1000).

c). ½ cup of Campbell's New England clam chowder provides 6% of the MDV of iron.

The percent is 6%. This is 0.06 in decimal form. In fraction form, it is 6/100. You can simplify the fraction by dividing the top and bottom of the fraction by 2 to get ...