#07A Ratio Word Problems Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you solve a ratio word problem?

Back

To solve a ratio word problem, identify the quantities involved, set up the ratio, and use cross-multiplication or equivalent fractions to find the unknown.

Front

If the ratio of students with the flu to those without is 4:1, how do you find the number of students with the flu if there are 60 students total?

Back

Divide the total number of students (60) by the sum of the ratio parts (4+1=5) to find one part (12). Multiply by 4 to find the number with the flu (12*4=48).

Front

What does it mean if a recipe calls for a ratio of ingredients?

Back

It means the ingredients should be mixed in a specific proportion to achieve the desired outcome, maintaining the same relative amounts.

Front

In a ratio of 5:2, how many parts are there in total?

Back

There are 5 + 2 = 7 parts in total.

Front

How can you express the ratio of 3 out of 5 students buying lunch?

Back

The ratio can be expressed as 3:5.

Front

If a student finished 8 homework problems and the ratio of finished to unfinished problems is 4:1, how do you find the total number of problems?

Back

Set up the equation 4x = 8 (where x is the number of unfinished problems). Solve for x to find the total problems (x=2, total = 8 + 2 = 10).

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities involved and the ratio given.

Front

If a recipe requires a ratio of sugar to flour of 10:3 and you use 70 ounces of sugar, how do you find the amount of flour needed?

Back

Set up the proportion 10/3 = 70/x. Cross-multiply to find x (x = 21 ounces of flour).

Front

What is cross-multiplication in the context of ratios?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other and setting the products equal.