Solving Proportion Word Problems Effectively

What is the main concept to remember when working with proportions in word problems?

• Proportions are only used for exact calculations.

• Ensure like units are in the numerator and denominator of each ratio.

• Use only whole numbers in proportions.

• Always use different units in the numerator and denominator.

If biologists tagged 900 rabbits and later found 6 tagged rabbits in a sample of 2,000, what is the estimated total number of rabbits in the park?

• 400,000

• 150,000

• 200,000

• 300,000

How do you check if the estimated total number of rabbits is reasonable?

• By using a different proportion.

• By counting all the rabbits in the park.

• By ensuring the ratios of tagged to total rabbits are equal in both the sample and the estimate.

• By comparing the initial tagged rabbits to the total population.

Mel fills his gas tank with 6 gallons of gas for $26.58. How much would it cost to fill an 18-gallon tank?

• $39.87

• $79.74

• $53.16

• $106.32

What is the unit rate for the cost of gas per gallon if 6 gallons cost $26.58?

• $4.43

• $4.00

• $3.33

• $5.00

If 12 pairs of jeans cost $513.72, how much would 4 pairs cost?

• $171.24

• $205.48

• $342.48

• $128.43

How can you verify the cost of 4 pairs of jeans?

• By using a different proportion.

• By estimating the cost.

• By finding the unit rate and multiplying by 4.

• By dividing the total cost by the number of pairs.

If 4 US dollars can be exchanged for 1.75 euros, how many euros can be obtained for 144 US dollars?

• 63 euros

• 72 euros

• 81 euros

• 54 euros

What is the correct way to set up the proportion for converting 144 US dollars to euros?

• 4/1.75 = 144/X

• 144/4 = X/1.75

• 1.75/4 = X/144

• 4/144 = 1.75/X

Why is cross-multiplying a reliable method for solving proportions?

• It simplifies the calculation.

• It ensures the units match.

• It verifies the ratios are equal.

• It avoids using decimals.