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Graph and then solve these equations by finding their point of intersection.
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Q: Two cars leave at the same time. One car drives North at a rate of 65 m/hr and the other car drives south at a rate of 55 m/hr. In how many hours will the cars be . . . → Read More: Rate problem, two cars leave at the same time
Q: A coffee merchant has two types of coffee beans, one selling for $3 per pound and the other for $5 per pound. The beans are to be mixed to provide 100 pounds of a mixture selling for $4.18 per pound. How much of each type of coffee bean should be used to form . . . → Read More: Coffee mixture word problem
Q: At 8:00am Dave leaves his home on his scooter, traveling east at 18 mph. At the same time and 80 mile away, Cathy leaves her home on her bicycle, traveling west toward Dave at 14 mph. At what time will they meet?
A: You know that D=VT, where D=distance, V=velocity (speed) and T . . . → Read More: Scooter and Bicycle, when will they meet?
Q: Three numbers are positive consecutive odd integers. If the larger two numbers have a product of 195, find all three integers.
A: Let x = the first integer Let x + 2 = the second integer (because 3 is 2 more than 1, and 5 is 2 more than 3, and so on…) . . . → Read More: Consecutive Odd Integer Word Problem
Q: The longest side of a triangle is four inches longer than the shortest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle ( the sum of the lengths of the sides) is 24 inches. what is the length of the longest side?
A: Let x . . . → Read More: Perimeter of Triangle Word Problem
Q: In a triangle the measure of the largest angle is 3 times the measure of the smallest angle. The measure of the remaining angle is twice the measure of the smallest angle. What is the measure of the longest angle?
A: Let x = first angle Let y = second angle Let z . . . → Read More: Angles of Triangles Word Problem
Q: The length of a rectangle is 19 feet longer than the width If the perimeter is 46 feet, what are the dimensions of the rectangle?
A: Let l = length Let w = width Let P = perimeter Two Equations, one for length, one for Perimeter: l = 19+w P = 2w + . . . → Read More: Length and Width of Rectangle, Word Problem
Q: The height of a rectangular mural is twice its width. Its perimeter (the sum of the measures of its sides) is 36 feet. What is the width and the height of the mural?
A: Let h=height Let w=width Let P=Perimeter
Height is twice the width: h = 2w The formula for perimeter . . . → Read More: Rectangular mural, perimeter word problem
Q: One integer is 3 less than 3 times another integer. If the sum of the two integers is 29, what is the smallest integer?
A: Let x = smaller integer Let y = larger integer
Equation 1: x+y = 29 Equation 2: 3x – 3 = y
Substitute Equation 2 into . . . → Read More: Integer Word Problem
Q: When the son will be as old as father today, their ages will add up to 126 years. When the father was as old as the son is today, their ages add to 38 years. Find their present ages.
A: Let x = son’s current age Let y = father’s current age
. . . → Read More: Father and Son, Age Word Problem


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