Solving Proportions Challenge

The video tutorial covers solving proportions by cross-multiplying. It begins with an introduction to proportions, explaining that they are two equal ratios. The teacher demonstrates solving proportions using cross-multiplication with examples, including story problems and recipe adjustments. The process involves identifying diagonal numbers, multiplying them, and dividing by the remaining number. The tutorial emphasizes understanding proportions in practical contexts, such as calculating time for tasks and adjusting recipe ingredients.

What is a proportion?

• A fraction

• Two ratios that are equal

• A whole number

• A single ratio

What is the first step in solving a proportion using cross-multiplication?

• Find the two numbers that are diagonal and multiply them

• Add the two numbers

• Divide the two numbers

• Subtract the two numbers

In the proportion 3/x = 12/17, what is the value of x?

• 4.25

• 6.25

• 5.25

• 3.25

What is the second step in solving a proportion using cross-multiplication?

• Divide by the last number

• Add the two numbers

• Subtract the two numbers

• Multiply the two numbers

If 5/14 = n/42, what is the value of n?

• 20

• 25

• 15

• 10

In the proportion 17/34 = 7/x, what is the value of x?

• 13

• 15

• 12

• 14

In the proportion 5/14 = n/42, what operation do you perform after multiplying the diagonal numbers?

• Add the last number

• Subtract the last number

• Divide by the last number

• Multiply by the last number

Jill can make 3 shirts in 15 days. How long will it take her to make 8 shirts?

• 40 days

• 45 days

• 35 days

• 30 days

Why is it important to keep the same labels on the top and bottom when solving a story problem involving proportions?

• To make the problem more complex

• To make the problem easier

• To avoid using a calculator

• To ensure the units are consistent

If a recipe calls for 3 cups of flour to make 36 rolls, how much flour is needed to make 9 rolls?

• 1.25 cups

• 0.75 cups

• 1 cup

• 0.5 cups