System of Inequalities (#2)

Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets(x) cost $2 and the earrings(y) cost $3. She needs to make at least $60. Sarah knows she will sell more than 10 bracelets. Write a system of inequalities to represent the income from jewelry sold and number of bracelets sold.

• 2x+3y≦60
  x≧10
• 3x+2y≦60
  x≦10
• 2x+3y≧60
  x≧10
• 2x+3y≧60
  x=10

Jason is buying wings(x) and hot dogs(y) for a party. One package of wings costs $7. Hot dogs cost $4 per pound. He must spend less than $40. Jason knows he will be buying at least 4 pounds of hot dogs. Write a system of inequalities to model the situation.

• 7x+4y<40
  x≧4
• 7x+4y>40
  y≦4
• 7x+4y<40
  y≧4
• 7x+4y>40
  x≦4

A radio station is giving away tickets to a play. They plan to give away tickets for seats that cost $10 and $20. They want to give away at least 20 tickets. The total cost of all the tickets they give away can be no more than $280.  Write a system of inequalities to represent the situation.

• 10x+20y<280
  x+y>20
• 10x+20y≦280
  x+y≧20
• 10x+20y>280
  x+y<20
• 10x+20y≧280
  x+y≧20

The boys and girls soccer clubs are trying to raise money for new uniforms. The boys’ soccer club is selling cars(x) for $2 per piece and the girls’ soccer club is selling candles(y) for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to model the situation.

• 2x+4y≧800
  x≧100
• 2x+4y>800
  y>100
• 2x+4y≧800
  y≧4
• 2x+4y>800
  y≧100

Mary babysits(x) for $10 an hour.  She also works as a tutor(y) for $15 an hour.  She is only allowed to work 20 hours a week.  She wants to make at least $150.  Write a system of inequalities to represent the situation.

• 10x+15y>150
  x+y>20
• 10x+15y≧150
  x+y>20
• 10x+15y<150
  x+y≦20
• 10x+15y≧150
  x+y≦20