Solve Linear Systems by Substitution Word Problems Essential Question How do you solve systems of linear equations by substitution Fundraising A wilderness group is selling cans of nuts and boxes of microwaveable popcorn to raise money for a trip A can of nuts sells for 450 and a box of m ID: 490713
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Lesson 7.2Solve Linear Systems by SubstitutionWord Problems
Essential Question: How do you solve systems of linear equations by substitution?Slide2
Fundraising A wilderness group is selling cans of nuts and boxes of microwaveable popcorn to raise money for a trip. A can of nuts sells for $4.50 and a box of microwaveable popcorn sells for $3. The group sells $252 in nuts and popcorn and they sell twice as many boxes of popcorn as cans of nuts. How many boxes of popcorn and how many cans of nuts did the group sell?Slide3
Drum Sticks A drummer is stocking up on drum sticks and brushes. The wood sticks that he buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on sticks and brushes and buys two times as many pairs of sticks as brushes. How many pair of sticks and brushes did he buy?Slide4
Driving Your brother and sister took turns driving on a 635-mile trip that took 11 hours to complete. Your brother drove at a constant speed of 60 miles per hour and your sister drove at a constant speed of 55 miles per hour. Let
x
be the number of miles your brother drove and let
y
be the number of miles your sister drove. How many hours did each of your siblings drive? How many miles did each of your siblings drive?Slide5
Antifreeze For extremely cold temperatures, an automobile manufacturer recommends that a 70% antifreeze and 30% water mix be used in the cooling system of a car. How many quarts of pure (100%) antifreeze and a 50% antifreeze and 50% water mix should be combined to make 11 quarts of a 70% antifreeze and 30% water mix?Slide6
Mowing and Shoveling Last year you mowed grass and shoveled snow for 12 households. You earned $225 for mowing a household’s lawn for the entire year and you earned $200 for shoveling a household’s walk and driveway for an entire year. You earned a total of $2600 last year. How many households did you mow the lawn for and how many households did you shovel the walk and driveway for?Slide7
Dimensions of a Metal Sheet A rectangular hole 3 centimeters wide and x centimeters long is cut in a rectangular sheet of metal that is 4 centimeters wide and
y
centimeters long. The length of the hole is 1 centimeter less than the length of the metal sheet. After the hole is cut, the area of the remaining metal sheet is 20 square centimeters. Find the length of the hole and the length of the metal sheet.Slide8
How do you solve a system of linear equations by substitution?Slide9
Ticket Out the Door