Fractions, Decimals, and Percentages
Percent – means hundredths
FILL IN THE CHART:
Fraction / Decimal / Percent1/2
75%
1.5
.6
4%
Example 1
Write 40% as a fraction reduced to lowest terms.
Example 2
35% of the students in eighth grade at Ramsey Junior High play sports. What fraction of the students is that?
Example 3
Six –sevenths of Ms. Jamison’s girl scout troop planned to attend a baseball game. APPROXIMATELY what percent of the troop was that?
Example 4
Two-sevenths of Mr. Johnson’s math class failed the last math test. APPROXIMATELY what percent of the class was that?
Example 5
35% of 73 is what number?
4 is what percent of 50?
Example 6
Of a group of people polled, 65% favored sports utility vehicles over vans. If 520 people favored sports utility vehicles, how many favored vans?
Example 7
A football team won 80% of its games. There were no ties. If there were 12 wins, how many games were lost?
Example 8
The high school basketball team won 20 games this season. Last year they won 16 games. The increase in wins is what percent of the wins last year?
Percent Increase and Decrease
Example 9
Mary scored 80 on last week’s geometry test. This week, her score was 90. What is the percent of increase?
Example 10
Laura wants to raise her science grade from 80 to 84. What percent increase would that represent?
Example 11
The price of a stereo was $239 last week and this week it went down to $199. What percent decrease would that represent?
Example 12
Last week Ed earned $40 babysitting his nephews. This week he earned $35. The decrease is what percent of last week’s earnings?
Discounts and Sales Tax
Example 13
An appliance store advertises a discount of 15% off the list price of every item. Find the total cost, including a 6% sales tax, of a stereo that is listed at $300.
Example 14
A football is advertised on sale at a discount of 20% of its regular price of $50. how much will Bob pay for the football with a 3% sales tax?
Example 15
The original price of a compact disk is $35.99. During a special discount sale, the disk price is reduced by 40% of the original price. Then 25% of this reduced price is taken off at the cash register.
- What is the final price, rounded to the nearest penny, a customer pays?
- Is this the same if the disk is sold at a one-time reduction of 65% from the original price?
Open Ended Questions
1. Bob has applied for a job as a salesperson. His application was accepted and reviewed, and options for the position were offered.
Monthly Salary Options
Plan A: $1,000 + 5% of monthly sales
Plan B: 10% of monthly sales
Sales for the prior person were:
January: $40,000
February: $30,000
March: $50,000
April: $60,000
Based on this information,
- Which salary option would Bob select if he decides to accept the job?
- Explain your answer.
2. Jamal has applied for a job as a salesperson. His application was accepted and reviewed, and options for the position were offered.
Monthly Salary Options
Plan A: $1,500 + 6% of monthly sales
Plan B: 10% of monthly sales
Sales for the prior person were:
January: $45,000
February: $55,000
March: $40,000
April: $70,000
Based on this information,
- Which salary option would Bob select if he decides to accept the job?
- Explain your answer.