Using Percents to Compare
Which is larger: 45% of 200 or 30% of 300? Show calculations and state which is larger.
45% of 200 = 0.45 × 200 = 90
30% of 300 = 0.30 × 300= 90
They are equal (both 90).
Convert 0.35 to a percent and to a fraction in simplest form.
3/5 = 0.6 = 60%
Write the fraction 3/5 as a percent.
3/5= 0.6 = 60%
A sweater is on sale for 25% off. The original price is $60. What is the sale price? Explain how the percent helps you compare the savings to the original price.
25% of 60 = 0.25 × 60 = 15 so sale price = 60 −15 = $45
Convert 7/20 to a decimal and a percent.
7/20 = 0.35 = 35%
Out of 80 students, 28 brought a lunch. What percent of students brought a lunch? Show your steps.
28/80 = 0.35 = 35%.
Student A scored 80% on a test with 25 questions. Student B scored 72% on a test with 30 questions. Who answered more questions correctly? Show work.
Student A: 80% of 25 = 20 correct.
Student B: 72% of 30 = 21.6 correct.
Write 12.5% as a decimal and as a fraction in simplest form.
12.5% = 0.125 = 125/1000 = 1/8
A survey of 200 people found 50 prefer chocolate ice cream. Express this as a percent and explain what that percent means in context.
50/200 = 0.25 =2 5% — meaning 25 out of every 100 people prefer chocolate.
Two teams at a school raised money. Team X raised 120% of their goal of $200. Team Y raised 150% of their goal of $150. Which team raised more money and by how much? Show calculations.
Team X: 120% × 200 = 1.20 × 200=$240
Team Y: 150% × 150 = 1.50 × 150 = $225
Team X raised more by 240 − 225 = $15
A recipe needs 0.625 of a cup of sugar. Express this decimal as a percent and as a fraction in simplest form.
0.625 = 62.5% = 625/1000 = 5/8.
In a jar of 250 marbles, 15 are red. What percent of the marbles are red? Round to the nearest tenth of a percent and explain rounding.
15./250 = 0.06 = 6% → as a percent to the nearest tenth: 6.0%
A store compares two items: Item A originally costs $40 and is now priced at 60% of original. Item B originally costs $55 and is now priced at 45% of original. Which item is cheaper now, and what is the price difference? Show full work.
Item A: 60% × 40 = 0.60 × 40 = $24
Item B: 45% × 55 = 0.45 × 55 = $24.75
Item A is cheaper by $0.75.
A student says 11/16 is about 68%. Determine the exact percent to the nearest hundredth and say whether the student is correct. Show calculations.
11/16 = 0.6875 = 68.75%. The student's 68% is close but under by 0.75%; correct to nearest hundredth: 68.75%.
A school's attendance increased from 86 students to 103 students. Express the increase as a percent of the original number (86). Round to the nearest tenth of a percent and show full work.
103−86=17
Percent increase = 17/ 86 ≈ 0.1976 ≈ 19.8%(nearest tenth).