Question

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

Answer 1

A

Explanation:

Answer 2

A. a + c ≥ 70; 15a + 4c ≤ 1000

Explanation:

Given data:

A community action committee is planning a block party

The party will be successful if at least 70 adults (a) and children (c) 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

Solution:

At least 70 adults and children attend.

So the inequality here is a + c ≥ 70

The budget for the party is $1,000.

So the cost for all adults plus the cost for all children cannot exceed $1,000

And hence the inequality here is; 15a + 4c ≤ 1,000