1. Mrs. Burgos wants to buy at least 30 kilos of pork and beef for her restaurant business but can spend no more than Php 12, 000. A kilo of pork costs Php 180 and a kilo of beef costs Php 220. Give 4 possible amounts of pork and beef that Mrs. Burgos can buy.
2. Jane is buying squid balls and noodles for her friends. Each cup of noodles costs Php 15 while each stick of squid balls costs Php 10. She only has Php 70 but needs to buy at least 3 sticks of squid balls. Solve the system graphically.
Answers & Comments
Answer:
mrs.burgos wants to buy at least 30 kilos of pork and beef but can spend no more than 1200. A kilo of pork is 180 and 220 for beef.
1. what mathematical statement represent the situation
2. draw and describe the graph
3. determine the amount of pork and beef mrs burgos needs to buy
Answer by ikleyn(36583) (Show Source): You can put this solution on YOUR website!
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Let X = kilos of pork, Y = kilos of beef.
Inequalities (= mathematical model)
x + Y >= 30,
180X + 220Y <= 1200
x >= 0, Y >= y.
The plots are below:
Plots X + Y = 30 (red), 180X + 220Y = 1200 (green).
The solution domain is the area in QI over the red line and below green line.
It is the EMPTY set (empty intersection). Which means that the problem HAS NO solutions.
The set of solutions to the given problem is EMPTY.