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Chapter 4: Q 109 (page 405)
Darrin is hanging feet of Christmas garland on the three sides of fencing that enclose his front yard. The length is five feet less than three times the width. Find the length and width of the fencing.
The length and the width of the fencing are and feet respectively.
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Translate to a system of equations and then solve:
Mark went to the gym and did minutes of Bikram hot yoga and minutes of jumping jacks. He burned calories. The next time he went to the gym, he did minutes of Bikram hot yoga and minutes of jumping jacks burning calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?
Felecia left her home to visit her daughter driving mph. Her husband waited for the dog sitter to arrive and left home twenty minutes later. He drove mph to catch up to Felecia. How long before he reaches her?
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost \(7.80 per pound with French Roast Columbian coffee that cost \)8.10 per pound to make a twenty- pound blend. Their blend should cost them $7.92 per pound. How much of each type of coffee should they buy?
Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for \(15 and the landscapes for \)10. She needs to sell at least $800 worth of drawings in order to earn a profit.
a) Write a system of inequalities to model this situation.
b) Graph the system.
c) Will she make a profit if she sells 20 portraits and 35 landscapes?
d) Will she make a profit if she sells 50 portraits and 20 landscapes?
Andrea is buying some new shirts and sweaters. She is able to buy shirts and sweaters for
or she is able to buy shirts and sweaters for . How much does a shirt cost? How
much does a sweater cost?
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