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College Algebra: Writing Equations from Word Problems (4 Problems)

Please help with the following attached questions:


2. If 40L of an acid solution is 75% acid, how much pure acid is there in the mixture?

8. Unknown Numbers: Consider the following problem. The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.

If x represents the number, which equation si correct for solving this problem?
A. 6x - 9 = 5(x + 2)
B. 9 - 6x = 5(x + 2)
C. 6x - 9 = 5x + 2
D. 9 = 6x = 5x + 2

12. Dimensions of a Puzzle Piece: A puzzle piece in the shape of a triangle has perimeter 30 cm. Two sides of the triangle are each twice as long as the shortest side. Find the length of the shortest side.

20. Distance Between Cities: On a vacation, Johnny averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities if his total traveling time was 32 hr?

Solution Summary

This solution provides step by step work for writing the equations from the word problems, and solving, in an attached Word document.