One-third of a number is 5 less than half of the same number. What is the number? Algebra Expressions, Equations, and Functions Problem-Solving Models 1 Answer EZ as pi Jul 19, 2016 #x = 30# Explanation: Let the number be #x# so that we have something to use to make an equation. #x/2 -5 = x/3 " or " x/2 -x/3 = 5# #xx 6:" " 3x - 30 = 2x# #x = 30# Check: #1/2 xx 30 = 15# #1/3 xx 30 = 10# #15-10 = 5# Answer link Related questions What are the steps to solving a word problem? Where do I start when I'm trying to solve a word problem? How do you check a solution to a problem? What are the different strategies used to solve a word problem? What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to... How do you solve word problems involving percents? What are commonly used math terms that translates to addition, subtraction, multiplication, and division? How much pure antifreeze should be added to 3 gallons of a 30 percent antifreeze solution to get... How would you use equations to calculate the age of Al given that Al's father is 45 and he is 15... How do you solve #x=(y-1)/(y+1)# for y? See all questions in Problem-Solving Models Impact of this question 2104 views around the world You can reuse this answer Creative Commons License