System on Inequality Application Set up BW

Jimmy needs at least $250 to buy 1 ticket to the Cowboys playoff game.  He is raising money by doing yard work.  He charges $20 to mow and trim and $10 to rake up leaves. Which inequality represents the number of yards he needs to mow, x, and the number of yards he needs to rake, y, to attend the game.  

• 20x + 10y ≥ 250
• 20y + 10x ≥ 250
• 30xy ≥ 250
• 20x + 10y ≤ 250

Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

• 3.5h + 1.5d ≤ 30
• 3.5d + 1.5h ≤ 30
• 3.5h + 1.5d ≥ 30
• 3.5h + 1.5d < 30

Debbie has at most $175 to spend on clothes.  She wants to buy jeans for $28 each and t-shirts for $12 each.

• 28j + 12t < 175
• 28t + 12j < 175
• 28j + 12t > 175
• 28t + 12j > 175

Brian mailed Christmas presents late to his family.  To send boxes it cost $7.50 each and $0.45 per letter. He can’t spend more than $40 to mail everything.  What inequality represents the number of boxes, B, and letters, L, that he can send?

• 7.50B + 0.45L < 40
• 7.50L + 0.45B < 40
• 7.50B + 0.45L > 40
• 7.50L + 0.45B > 40