# Equations with Ratios and Proportions

Equations involving ratios and proportions are fundamental in mathematics, often used to solve real-world problems and model various situations. Understanding how to work with these equations is essential for students and professionals alike, as they appear in many fields, including finance, science, and engineering. By mastering the principles behind these equations, individuals can accurately interpret and manipulate ratios and proportions, leading to more informed decision-making and problem-solving. This introduction sets the stage for a deeper exploration of the topic, highlighting its importance and relevance in both theoretical and practical contexts.

Questions

- The measures of two angles have a sum of 90degrees. The measures of the angles are in a ratio of 2:1, how do you determine the measures of both angles?
- The volumes of two similar solids are 53 cm3 and 1113 cm3. Which is the ratio of the corresponding sides?
- How do you use cross products to solve #(b-3)/16=5/8#?
- How do you solve the proportion #7/2=y/3#?
- How do you solve #m/10=10/3#?
- If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers?
- How do you use cross products to solve #2/9=c/27#?
- How do you solve #5/6=(7n+9)/9#?
- How do you find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm :21 km?
- Bart burns 200 calories in 0.75 hour of kayaking. How many calories does he burn in a 3-hour kayaking trip?
- How do you solve #6/9=8/x#?
- How do you solve #8/(x-4) -3=1/(x-10)#?
- How do you simplify to tell whether the ratios #1/7, 2/14# form a proportion?
- A test has 40 questions. Denise finished #2/5# of the questions in the first 10 minutes and #1/2# of the remaining questions in the next 15 minutes. How many questions had Denise answered after 25 minutes?
- How do you know if the pair 3/2 and 18/8 form a proportion?
- How do I find the missing number in the following proportion? ___: 8 = 12:32
- How do you use cross products to solve #9/2=36/n#?
- On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?
- How tall is the building, in feet if a scale model of a building is 2.3-feet high and the ratio of the height of the model to the height of the building is 1:156?
- How do you solve for x in #y = (1+4x)/(7-9x)#?