Topic 3 Mid-Topic Review

Front

What is the formula to calculate the distance traveled if you know the total distance a vehicle can travel on a full tank and the percentage of the tank used?

Back

Distance = Total Distance * (Percentage Used / 100). For example, if a car can go 120 miles on a full tank and 30% of the tank is used, the distance traveled is 120 * (30/100) = 36 miles.

Front

How do you calculate the total cost of an item after applying a discount and adding tax?

Back

Total Cost = (Original Price - Discount) + Tax. For example, if a sweater costs $20 with a 15% discount and $2.80 tax, the total cost is $20 - ($20 * 0.15) + $2.80 = $19.80.

Front

What is the relationship between part, whole, and percent in a percentage problem?

Back

Percent = (Part / Whole) * 100. For example, if 35 boys are 5% of the total enrollment, the total enrollment (Whole) can be found using the formula: Whole = Part / (Percent / 100).

Front

How do you find the number of right-handed players in a group if you know the total number of players and the percentage that are right-handed?

Back

Number of Right-Handed Players = Total Players * (Percentage of Right-Handed / 100). For example, if there are 60 players and 20% are right-handed, then there are 60 * (20/100) = 12 right-handed players.

Front

What does it mean to find the 'part' in a percentage problem?

Back

Finding the 'part' means determining how much of the whole corresponds to a given percentage. For example, if you know that 9 out of 20 birds are sparrows, you are finding the part (9) that represents the percentage of sparrows.

Front

What is the formula to find the total number of students in a school if you know the number of students in a specific group and the percentage that group represents?

Back

Total Students = Number of Students in Group / (Percentage Represented / 100). For example, if 35 boys represent 5% of the total, then Total Students = 35 / (5/100) = 700.

Front

How do you calculate a percentage discount on an item?

Back

Percentage Discount = Original Price * (Discount Rate / 100). For example, for a $20 item with a 15% discount, the discount amount is $20 * (15/100) = $3.

Front

What is the formula to find the tax amount on a purchase?

Back

Tax Amount = Price of Item * Tax Rate. For example, if an item costs $20 and the tax rate is 14%, the tax amount is $20 * 0.14 = $2.80.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, to convert 9/20 to a percentage: (9 ÷ 20) * 100 = 45%.

Front

What is the formula for finding the percentage of a part in relation to the whole?

Back

Percentage = (Part / Whole) * 100. For example, if there are 12 right-handed players out of 60 total players, the percentage of right-handed players is (12 / 60) * 100 = 20%.