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Lesson 89 Value Problems

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We remember that when we read word problems, we look for word statements about quantities that are equal. Then we transform each of these word statements into an algebraic equation which makes the same statement of equality. We use as many variables as necessary. When we have written as many independent equations as we have variables, we solve the equations by using the substitution or elimination method.

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Example 89.1 Airline fares for flights from Tifton to Adel are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid $1360, how many first-class passengers were on the trip? Remember when we solved coin problems there were two (2) statements of equality. One described the number (COUNT ) of coins and the other the (VALUE ) of those coins. When solving value problems, just as in the coin problems, we have two statements of equality. One describes the number (COUNT ) of passengers and the other describes the (VALUE ) of their fares.

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Example 89.1 Airline fares for flights from Tifton to Adel are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid $1360, how many first-class passengers were on the trip? There were 12 first-class passengers.

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**There were 15 more expensive dresses and 35 less expensive dresses.**

Example 89.2 Wataksha’s dress shop sold less expensive dresses for $20 each and more expensive ones for $45 each. The shop took in $1375 and sold 20 more of the less expensive dresses than the more expensive dresses. How many of each kind did they sell? There were 15 more expensive dresses and 35 less expensive dresses.

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**There were 13 tickets for good seats sold.**

L Practice a. Tickets for good seats cost $8, and tickets for the other seats cost $3. If 18 tickets were sold for a total of $119, how many tickets for good seats were sold? There were 13 tickets for good seats sold.

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**There were 112 adult and 63 children’s tickets sold.**

L Practice b. At a basketball game, adult tickets sold for 5 dollars and children’s tickets sold for 2 dollars. If 175 tickets were sold for a total of 686 dollars, how many of each type were sold? There were 112 adult and 63 children’s tickets sold.

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**This is the end of the presentation! Please do the problems listed **

below for this lesson. a, b, 1-4, 9-14, 16, 17-20, 22, 24, 26

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