Linear System Word Problems A restaurant has 20 tables. Each table can seat either 4 people or 6 people. The restaurant can seat a total of 90 people.

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Presentation transcript:

Linear System Word Problems A restaurant has 20 tables. Each table can seat either 4 people or 6 people. The restaurant can seat a total of 90 people. Find the number of each type of table.

Linear System Word Problems During one calender year, a state trooper issued a total of 375 citations for warnings and speeding tickets. Of these, there were 37 more warnings than speeding tickets. How many warnings and how many speeding tickets were issued?

Linear System Word Problems You worked 14 hours last week and earned a total of $96 before taxes. Your job as a lifeguard pays $8 per hour, and your job as a cashier pays $6 per hour. How many hours did you work at each job?

Linear System Word Problems The cost of 14 gallons of regular gasoline and 10 gallons of premium gasoline is $ Premium costs $.30 more per gallon than regular. What is the cost per gallon of each type of gasoline?

Linear System Word Problems To raise money for new football uniforms, your school sells silk-screened T-shirts. Short sleeve T-shirts cost the school $5 each and are sold for $8 each. Long sleeve T-shirts cost the school $7 each and are sold for $12 each. The school spends a total of $2500 on T-shirts and sells all of them for $4200. How many of the short sleeve T-shirts are sold?

Linear System Word Problems A gym offers two options for membership plans. Option A includes an initiation fee of $121 and costs $1 per day. Option B has no initiation fee but costs $12 per day. After how many days will the total costs of the gym membership plans be equal? How does your answer change if the daily cost of Option B increases? Explain!