Decimals, Fractions, and Percent
Convert to percent: 1/4
25%
30% increase
y=1.3x
75% of the students in Jesse’s class are 60 inches or taller. If there are 20 students in her class, how many students are 60 inches or taller? Solve with an equation.
Part=20(0.75)
Part=20 (0.75)
15 students
At a playoff basketball game, there were 370 fans cheering for school A and 555 fans cheering for school B. Express the number of fans cheering for school B as a percent of the number of fans cheering for school A.
150%
Which equation represents the amount a customer pays, p, in dollars, after the 6.5% sales tax if the original cost of the item is c dollars?
P = 1.065 C
Convert to percent: 1.45
145%
90% decrease
y=0.1x
Bobbie wants to leave a tip for her waitress equal to 15% of her bill. Bobbie’s bill for her lunch is $18. How much money represents 15% of the bill?
Tip= 18(0.15)
$2.7
An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
decrease=$12
12= 72(%)
x= 12/72=1/6
16.7%
The cost of a New York Yankee baseball cap is $24.00. The local sporting goods store sells it for $30.00. Find the markup.
25%
Convert to percent: 0.045
4.5%
78% increase
y=1.78x
A bakery used 25% more butter this month than last month. If the bakery used 240 kilograms of butter last month, how much did it use this month?
Final quantity= Initial quantity (%)
Final quantity= 240 (1.25)
300 kilograms
A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year. Use the equation.
16 was the increase increase
16= 80 (%)
16/80=1/5= 20%
Michelle works at a shoe store. Her base salary is $400 US dollars per week plus 10% of commission over the total amount of shoes sold during the month. This month, she sold $650.00 US dollars in shoes.
a) Calculate the commission she received for the shoes she sold.
b) What was the total amount of money that she received for her base salary and her commission at the end of the month?
a) Commission= 650 (0.10)= 65.
b) Total amount of money received= 400 +65= $465 USD dollars.
Convert to decimal: 3/8
0.375
4% decrease
y=0.96x
Last week, the price of oranges at the farmer's market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week? Use the equation to get this week's price.
final price= initial price (0.8)
final price= 1.75(0.80)
$1.40
Loren must obtain a minimum number of signatures on a petition before it can be submitted. She was able to obtain 672 signatures, which is 40% more than she needs. How many signatures does she need?
Final quantity= Original quantity (%)
672=x (1.40)
672/1.40= 480
480 signatures
An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax (tax is added after the discount)?
$43.20
50(0.8)=40
40(1.08)=$43.20
Convert to fraction and simplify: 365%
3 13/20
250% increase
y=3.5x
A juice box has 20% more juice in its new packaging. The original packaging held 12 fluid ounces. How much juice does the new packaging hold? Use the equation to find the capacity of the new packaging.
new packaging= original packaging (1.20)
New packaging= 12 (1.20)
14.4 fluid ounces
The price of a tent was decreased by 15% and sold for $76.49. What was the original price of the tent in dollars? Round to hundredths.
76.49= Original price (0.85)
Original price=76.49/0.85
$89.99
Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75%. How much will Mr. Rodriguez earn if he leaves his money in the savings plan for 10 years? What is the total final investment including interests?
Total interests= 2000 (0.0575) (10 years)
Total interest $1,150.00
Total investment with interests gained $3,150.00