Two Step Equation Word Problem
Consider the following two step equation word problem.
Mr. Brown and his wife have a combined weight of 370 pounds. Mrs. Brown weighs 155 pounds less than twice her husband’s weight. How much does each of them weigh?
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Solution
If x stands for Mr. Brown’s weight, then 2x 155 stands for Mrs. Brown’s weight (because she weighs 155 pounds less than twice her husband’s weight).
We can now set up an equation in x:
x + (2x 155) = 370
3x – 155 = 370
Add 155 on both sides to isolate 3x.
3x = 525
Divide by 3 on both sides of the equation to find x.
x = 525/3
x = 175 pounds
In conclusion, Mr. Brown weighs 175 pounds
Mrs. Brown weighs 2(175) – 155 = 350155 = 195 pounds
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