Inequalities word problems

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Jack wants to buy a Wii that costs $284. He has $80 and plans to save $25.50 each week. Which equation would represent this situation?

• 25.50w + 80 = 284

• 25.50 + 80w = 284

• 284 - 25.50 = 80w

• 25.50w + 284 = 80

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3
• x/3 + 20 ≤ 120
• 3x + 20 ≤ 120
• 3x + 20 ≥ 120

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3 + 5.5p < 10
• 20 = 5.5 - 3p
• 5.5 + 3p < 20
• 3p + 5.5 ≤20