Proportions: Step-by-Step Problem Solving

This video tutorial introduces the concept of proportions, which are two equal ratios. It explains how to solve proportions using cross multiplication, providing examples of increasing complexity. The tutorial concludes with a word problem involving currency exchange, demonstrating practical application of proportions.

What does it mean when two ratios are described as proportional?

• They are equal when graphed on a coordinate plane.

• They can be simplified to the same number.

• They represent the same relationship between quantities.

• They have the same denominator.

In the video, what was the first example used to explain proportions?

• Comparing weights in kilograms and pounds.

• Comparing temperatures in Celsius and Fahrenheit.

• Comparing distances in miles and kilometers.

• Comparing currency exchange from dollars to pesos.

What mathematical method is commonly used to solve proportions as demonstrated in the video?

• Adding the ratios together.

• Cross multiplication.

• Dividing the ratios.

• Subtracting one ratio from another.

What is the result of solving the proportion 5/X = 10/3 using cross multiplication?

• X = 2/3

• X = 1.5

• X = 3/2

• X = 2.5

What does cross multiplying involve according to the video?

• Subtracting the numerators from the denominators.

• Multiplying diagonally across the equality of two ratios.

• Dividing the numerators by the denominators.

• Adding the products of the numerators and denominators.

How do you solve the equation 3(X - 2) = 2(X + 1) for X?

• X = 5

• X = 10

• X = 6

• X = 8

In the currency exchange word problem, what is the exchange rate of euros to dollars?

• 1 euro = 1.38 dollars

• 1 euro = 1.45 dollars

• 1 euro = 1.5 dollars

• 1 euro = 1.25 dollars

How many euros would you receive for 250 dollars at the given exchange rate?

• 200 euros

• 181.16 euros

• 150 euros

• 175 euros

What is the final step in solving for X in the proportion involving currency exchange?

• Multiply both sides by 250

• Divide both sides by 1.38

• Divide both sides by 250

• Multiply both sides by 1.38

What is the purpose of rounding the final answer in a currency conversion problem?

• To simplify the calculation.

• To adjust for market fluctuations.

• To ensure accuracy to the nearest cent.

• To make it easier to remember.