MATH SOLVE

2 months ago

Q:
# A community action committee is planning a block party. The party will be successful only if at least 70 adults and children attend. Their budget for the party is $1,000, the cost for each adult will be $15, and the cost for each child will be $4. Which system of inequalities models this situation? A. a + c ≥ 70; 15a + 4c ≤ 1000 B. a + c ≤ 70; 15a + 4c < 1000 C. a + c ≥ 1000; 15a + 4c ≤ 70 D. a + c ≤ 70; 15a + 4c ≥ 1000

Accepted Solution

A:

Answer:A. a + c ≥ 70; 15a + 4c ≤ 1000Step-by-step explanation:Given data:A community action committee is planning a block partyThe party will be successful if at least 70 adults (a) and children (c) attendTheir budget for the party is $1,000The cost for each adult will be $15And the cost for each child will be $4Solution:At least 70 adults and children attend.So the inequality here is a + c ≥ 70The budget for the party is $1,000.So the cost for all adults plus the cost for all children cannot exceed $1,000And hence the inequality here is; 15a + 4c ≤ 1,000