Pedro and Maria each opened savings accounts on the same day, - - PowerPoint PPT Presentation

SOLVING WORD PROBLEMS WITH VARIABLES ON BOTH SIDES

 Pedro and Maria each opened savings accounts

• n 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.

 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

 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

• ther

$35 $25

 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

 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

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

 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

 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?

 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?

 Nilda has $250 in her savings account. She plans

to save $15 per week from her salary. Iona has

• nly $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?

 A sales person in a stereo store is given a choice

• f two different compensation plans. One plan
• ffers a weekly salary of $250 plus a commission
• f $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.