Week 18 Practice Problems

Front

In a marathon, if a runner completes the race in 4.5 hours and finishes their next marathon in 10% less time, how do you calculate the time for the second marathon?

Back

To find the time for the second marathon, calculate 10% of 4.5 hours and subtract it from 4.5 hours. 10% of 4.5 hours = 0.45 hours. So, 4.5 - 0.45 = 4.05 hours.

Front

If last year there was 200 inches of snowfall and this year there is 40% more, how do you find the snowfall for this year?

Back

To find this year's snowfall, calculate 40% of 200 inches and add it to 200 inches. 40% of 200 = 80 inches. So, 200 + 80 = 280 inches.

Front

What is the ratio of green paint to black paint in the recipe for jasper green?

Back

The ratio is 4 quarts of green paint to \(\frac{2}{3}\) cups of black paint.

Front

If an ant farm consumes \(\frac{1}{2}\) of an apple in 3 days, how do you calculate the time to consume 3 apples?

Back

If it takes 3 days for \(\frac{1}{2}\) apple, then for 1 apple it takes 6 days. For 3 apples, it takes 6 days x 3 = 18 days.

Front

In a recipe, if you need \(1\frac{1}{2}\) quarts of sparkling water for \(\frac{3}{4}\) quarts of grape juice, how do you find the amount needed for 9 quarts of grape juice?

Back

Set up a proportion: \(\frac{1\frac{1}{2}}{\frac{3}{4}} = \frac{x}{9}\). Solve for x to find that you need 18 quarts of sparkling water.

Front

What is the formula to calculate percentage decrease?

Back

Percentage decrease = \(\frac{(original value - new value)}{original value} \times 100\)%

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, \(1\frac{1}{2} = \frac{3}{2}\).

Front

What is the formula for calculating the total amount after a percentage increase?

Back

Total amount = original amount + (percentage increase \times original amount).

Front

How do you find the total time taken if you know the rate of consumption?

Back

Total time = total amount / rate of consumption.

Front

What is the relationship between quarts and cups?

Back

1 quart = 4 cups.