可汗SAT数学练习：Systems of linear inequalities word problems【1】!下面智课网为大家整理了可汗学院SAT数学关于Systems of linear inequalities word problems问题的练习，希望考生结合有效的练习掌握考点。

1.Anouk is an engineer planning sound and lighting for a free concert in the park. The concert was advertised with a promise to use no more than108kilowatts(kW) of power. It was determined that the main contributors to power usage, speakers and floodlights, use1.8 kW and2.2kW, respectively. Anouk also must keep within her budget of$3,300. The rental company is charging$75for each speaker and$42for each floodlight. Which of the following combinations meets Anouk's requirements? A. 40 speakers and 30 floodlights B. 12 speakers and 54 floodlights C. 26 speakers and 13 floodlights D. 38 speakers and 22 floodlights CORRECT ANSWER: C DIFFICULTY LEVEL: 2 3.The change machine at an arcade gives change in the form of 25-cent coins (quarters) and one-dollar bills. The manager of the arcade would like at least$50 worth of quarters and $100 worth of one-dollar bills in the machine at all times. Also, the manager does not allow more than$500 in the machine at any time. What is the maximum number of quarters the manager would allow in the change machine?

A. 200

B. 400

C. 1600

D.2000

CORRECT ANSWER: C DIFFICULTY LEVEL: 2

4.In order to bring his business to the next level, Christov wants to gain at least 2,000 followers on a popular social media platform. From his own personal account, he knows that each original post gains him approximately 3 new followers and every 5 reposts gains about 1. Which of the following inequalities represents the numbers of posts, P, and reposts, R, Christov needs to reach his goal of gaining 2,000 followers?

A. 3P+0.2R≥2,000

B. 3P+5R≤2,000

C. 1P+5R≥2,000

D. 0.2P+5R≤2,000

CORRECT ANSWER: A DIFFICULTY LEVEL: 2