12/9 - Percent Word Problem and Ratio Representation

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities maintain a constant ratio or rate. For example, if you double one quantity, the other quantity also doubles.

Front

How do you calculate the total number of students if 60% are girls and there are 36 boys?

Back

Let x be the total number of students. If 60% are girls, then 40% are boys. Set up the equation: 0.40x = 36. Solving gives x = 90.

Front

What is the unit rate?

Back

The unit rate is the cost per single unit of measure. For example, if a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = 12 cents per ounce.

Front

How do you calculate a 15% tip on a bill of $58.65?

Back

To calculate a 15% tip, multiply the bill by 0.15: $58.65 × 0.15 = $8.80. Add this to the bill: $58.65 + $8.80 = $67.45.

Front

What is the formula to find the percentage of a number?

Back

The formula to find the percentage of a number is: (part/whole) × 100 = percentage.

Front

If a bill is $44.20, how do you calculate a 20% tip?

Back

To calculate a 20% tip, multiply the bill by 0.20: $44.20 × 0.20 = $8.84.

Front

What does it mean if ratios are equivalent?

Back

If ratios are equivalent, it means they represent the same relationship between two quantities. For example, 1:2 is equivalent to 2:4.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (1/2), with a colon (1:2), or in words (1 to 2).

Front

What is the relationship between percentages and fractions?

Back

Percentages are a way to express a fraction out of 100. For example, 25% is equivalent to 25/100 or 1/4.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide by 100. For example, 25% becomes 0.25.