Solving Ratio Problems

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 to b' or a:b.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, identify the quantities involved, set up a proportion if necessary, and solve for the unknown quantity using cross-multiplication or equivalent ratios.

Front

If you earn $15 every 3 weeks, how much do you earn per week?

Back

You earn $5 per week ($15 ÷ 3 weeks).

Front

If Jeff runs 6 miles in 4 hours, what is his speed in miles per hour?

Back

His speed is 1.5 miles per hour (6 miles ÷ 4 hours).

Front

What is the relationship between ice cream cones and brownies in the given problem?

Back

For every 5 ice cream cones, there are 3 brownies sold, establishing a ratio of 5:3.

Front

If there are 24 brownies sold, how do you find the number of ice cream cones sold?

Back

Set up a proportion: 5 cones/3 brownies = x cones/24 brownies. Solve for x to find that 40 ice cream cones were sold.

Front

How do you calculate the time it takes to run a longer distance based on speed?

Back

Use the formula: Time = Distance ÷ Speed. If Mr. Dulin runs 5 miles in 42 minutes, calculate his speed and then use it to find the time for 25 miles.

Front

What is the total points earned if 3 boxes of chocolate sold earns 15 points?

Back

You earn 5 points per box (15 points ÷ 3 boxes). Selling 7 boxes earns 35 points (5 points × 7 boxes).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you use cross-multiplication to solve a proportion?

Back

If a/b = c/d, then cross-multiply to get a*d = b*c, and solve for the unknown.