Table of Contents Home. Ticket problem. Investment problem. Mixture problems. Example 1. Andre has more money than Bob. How much does each one actually have? Let upstream downstream algebra Upstream Downstream Word Problems Worksheet Pdf Android word problems in pdf be downsrteam amount of money that Andre.
Let y be the amount that Bob. Always let x and y answer the question -- and be perfectly clear about what they represent! Since there are two unknowns, there must be two equations. In general, to have a unique solution, the number of equations must equal the number of upstream downstream algebra word problems in pdf. How can we get two equations out of the downetream information?
We must xlgebra each verbal sentence into the language of algebra. To solve any system of two equations, we must reduce it to one equation in one of the unknowns. In this example, we can solve equation 1 for x Therefore, according to the exression for xAndre. Example 2. How many tickets of each kind were sold?
Let x be the number of adult tickets. Let y be the number of children's tickets. Again, we have let x and y answer the question. And again we must get two equations out of the given information. Here they are:. In equation 2we will make the coefficients into whole numbers by multiplying both sides of the equation by 10 :.
We call the second equation 2' "2 prime" to show lroblems we upstream downstream algebra word problems in pdf it from equation 2. These simultaneous equations are solved in the usual way. To see the answer, pass your mouse over the colored area. To cover the answer again, click "Refresh" "Reload". Do the problem yourself first! Example 3. How much did she invest at each rate?
To change a percent to a decimal, see Skill in Arithmetic, Lesson 4. Again, in equation 2 let us make the coefficients whole numbers by multiplying both sides of the equation by How many of each does she have?
To see the answer, pass your mouse from left to right over the colored area. Let x be the number of quarters. Let y be the number of dimes.
Example 4. Mixture problem. The final solution, then, will have 9 gallons of pure alcohol. Example 5. It takes 3 hours for Upstream Downstream Algebra Word Problems Appear a albebra to travel 27 miles upstream.
The same boat can travel 30 miles downstream in 2 hours. Find the speeds of the boat and the current. Let x be the speed of the boat upstream downstream algebra word problems in pdf a current.
Let y be the speed of the current. The student might review the meanings of "upstream" and "downstream," Lesson We saw there that speed, or velocity, is distance divided by time :. Section 2: Problems.
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