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SOLVING WORD PROBLEMS WITH VARIABLES ON BOTH SIDES.

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Presentation on theme: "SOLVING WORD PROBLEMS WITH VARIABLES ON BOTH SIDES."— Presentation transcript:

1 SOLVING WORD PROBLEMS WITH VARIABLES ON BOTH SIDES

2  Pedro and Maria each opened savings accounts on the same day, intending to withdraw the money for weekly expenses. Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal.  The first sentence doesn’t have any relevant information, so cross it out.

3  Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many will their accounts be equal.  What is the question asking for?  If we don’t know something what do we call it? weeks

4  Pedro opened his account with $710 and withdrew per week. Maria opened her account with $570 and withdrew weekly. In how many weeks will their accounts be equal.  What numbers go with x (weeks)?  We have two numbers that go with x, therefore we have two equations.  When we have 2 equations we set them equal to each other $35 $25

5  Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal.  The question asks when they will be equal, so we use an equals sign  Replace the first m with $35 and the second m with $25

6  Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal.  They are both taking money away from their account, so both values of m have to be negative  We then replace the b on Pedro’s equation with $710 and Maria’s with $570

7  We now have an equation we can solve for!  Add 35x to both sides  Subtract 570 from both sides  Divide by 10

8  Pedro and Maria each opened savings accounts on the same day, intending to withdraw the money for weekly expenses. Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal.  x = weeks, so in 14 weeks their accounts will be equal

9  The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria’s installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores?

10  Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus 9¢ per mile for the same car. For what number of miles will both companies charge the same price?

11  Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?

12  A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans.


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