Percents & the Distributive Property

Match the following equation to the correct situation. 70%(p + 3.4) = 70%p + 2.38

• The amount the school district gets in federal aid for 70% of p students for 2.38 months.

• The average GPA for 70% of seventh graders was greater than 2.38.

• The number of racers that will run 70% of p meters.

• The number of pages two printers can print in one minute when one prints 2.38 per minute and the other is printing at 70% of its maximum pages per minute, p.

Match the following equation to the correct situation. 14%(p) + p = 1.14p

• The amount that Cindy paid for books was 14% of p.

• The amount that Sandy paid for a shirt with 14% tax on p.

• The amount that Juanita owed after paying a 14% deposit on p.

• The amount given to a charity after saving 14% of p.

Match the following equation to the correct situation. s - s(21%) = s(79%)

• The amount that Anis owes on his car was 21% of s.

• The amount that Katie paid for a pair of jeans with 21% tax on s.

• The price for a shirt that originally cost s after a 21% discount..

• The amount Doug gave to the local heart association was 21% of s.

Francis bought a new dress that was discounted by 22%. She used the expression d - (0.22)d to find the price of the dress after the discount was applied. Which of the following is another expression that could be used to get the same results?

• 78d

• 0.78d

• d - 22

• d - 0.22

Match the following equation to the correct situation. 20%(b - 20) = 20%b - 4

• The amount of chili eaten from 20% of 4 less than b bowls.

• The number of songs available for download from 20% of b artists.

• Last month's electricity bill was 4 kW-h less than 20% of this month's bill.

• The number of cups of coffee thrown away by 20% of b senators during 4 speeches.

The membership in the math club at Rogers Junior High increased by 7% from last year to this year. The president of the math club used the expression m + m(0.07) to find the number of members in the club this year. Which of the following is another expression that could be used to get the same results?

• 107m

• 1.07m

• m + 7

• m + 1.07

The sale price of a bicycle is $120. This is 75% of the original

price. Find the original price.

The attendance at a family reunion was 160 people. This was 125% of last year’s attendance. How many people attended the reunion last year?

According to a recent government study, the average 15-year-old male gets 11.4% of his daily caloric intake from sugar drinks. If that 15-year-old consumes 2,400 calories each day, how many calories come from sugar drinks?

To recover a large chair in your home, you purchase 9 1/2 yards of upholstery fabric at $11.00 per yard. If there is a 7% sales tax, what is the total cost of the fabric?