Problem Solving Using Equations

Problem Solving Using Equations-29
In this problem, we don't know Jack's or Diane's age.Since Jack's age is expressed in relation to Diane's age (in this problem, Jack is two years older than Diane), so then our variable will be based on Diane's age. If Jack is two years older than Diane, then Jack's age must be: d 2.

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If Charlie's age is c today, then it will be c 3 in three years and Brian's age will be 2c 3 in three years.

If the sum of their ages in three years will be 33, then the equation to find their ages will be: Charlie's age in three years Brian's age in 3 years = 33.

Our original equation was: (c 3) (2c 3) = 33 If c = 9 9 3 2(9) 3 = 33 15 18 = 33 33 = 33 Since the left side equals the right side, then our answers are correct; Charlie is 9 years old and Brian is 18 years old.

Solving a word problem involving age can seem challenging because of all the information presented.

So the equation will look like this: (c 3) (2c 3) = 33 Now that we have an equation, we can solve for the unknown variable, c.

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(c 3) (2c 3) = 33 3c 6 = 33 3c = 27 c = 9 Therefore, Charlie is 9 years old today.We must substitute into Brian's equation to determine his current age. Therefore, Brian must be 18 years old (2c = 2 x 9).To check our answer, we must substitute into the original equation to verify that the left side of the equation equals the right side.Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal.One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. This tutorial shows you how to take a word problem and translate it into a mathematical equation involving fractions.Unfortunately, Sally had a track meet that day and missed the lesson.She has her friend's notes, but they're not making much sense, and she's getting frustrated. Word problems can be quite confusing as they contain a great deal of information and sometimes we're not sure what to do with it all.You can test out of the first two years of college and save thousands off your degree.Anyone can earn credit-by-exam regardless of age or education level.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.Try it risk-free Let's meet Sally, whose class just learned about using equations to solve word problems.


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