GED Math Ratios Rates and Proportions Quiz

To maintain the ratio of flour to sugar (2:3), if you use 6 cups of flour, you can set up a proportion. For every 2 cups of flour, 3 cups of sugar are needed. Therefore, for 6 cups of flour, you calculate (6 cups flour) x (3 cups sugar / 2 cups flour) = 9 cups of sugar.

To find the unit rate in miles per hour, divide the total distance traveled (240 miles) by the total time taken (4 hours). This calculation gives 240 miles ÷ 4 hours = 60 miles per hour, indicating the speed of the car.

To find the real distance between the two cities, multiply the map distance by the scale factor. Since 1 inch equals 10 miles, 3.5 inches translates to 3.5 x 10 = 35 miles. Thus, the cities are 35 miles apart in reality.

To find the cost per pound, divide the total cost by the total weight. Here, $12.50 divided by 5 pounds equals $2.50 per pound. This calculation shows how much each pound of apples costs, confirming that $2.50 is the correct price per pound.

To solve for x in the equation \( \frac{3}{5} = \frac{x}{20} \), cross-multiply to get \( 3 \times 20 = 5 \times x \), which simplifies to \( 60 = 5x \). Dividing both sides by 5 gives \( x = 12 \). Thus, the solution is 12.

To find the number of girls, use the ratio of boys to girls, which is 4:5. If there are 20 boys, set up a proportion: 4/5 = 20/x. Cross-multiplying gives 4x = 100, leading to x = 25. Thus, there are 25 girls in the class.

To find the total earnings, multiply the hourly wage by the number of hours worked. In this case, $15 per hour multiplied by 37.5 hours equals $562.50. This calculation shows how much the worker earns over that specific time period.

To determine how long it takes 12 workers to complete the job, use the concept of worker-days. If 8 workers finish the job in 6 days, that equals 48 worker-days (8 workers x 6 days). With 12 workers, the job can be completed in 4 days (48 worker-days ÷ 12 workers = 4 days).

To find the sale price after a 20% discount on an $80 item, calculate the discount amount: 20% of $80 is $16. Subtract the discount from the original price: $80 - $16 = $64. Thus, the sale price is $64.

To solve for y in the equation \( \frac{7}{y} = \frac{35}{100} \), cross-multiply to get \( 7 \times 100 = 35 \times y \). This simplifies to \( 700 = 35y \). Dividing both sides by 35 yields \( y = 20 \). Thus, the solution is 20.

To determine the amount of milk needed for 10 people, first find the milk per person by dividing 2 cups by 4 people, which equals 0.5 cups per person. Then, multiply 0.5 cups by 10 people to get 5 cups of milk required for 10 servings.

To find the total number of pages printed in 8 minutes, multiply the printing speed of 45 pages per minute by the time in minutes: 45 pages/minute × 8 minutes = 360 pages. Thus, the printer will print 360 pages in that duration.