Question

Kritika needs to receive completed surveys from at least 3800 potential voters in her city. She notices that for every $5$ surveys she sends out, only $1$ survey is completed. Last week she received $1350$ completed surveys, and this week she received $900$ completed surveys. Kritika plans to send out $s$ additional surveys. Find the inequality which shows all possible for '$s$' that would ensure that she received $3800$ completed surveys?

• A. $s\ge 1550$
• B. $s\ge 2250$
• C. $s\ge 7750$
• D. $s\ge 12250$

Answer 1

Answer: (C)

$s\ge 7750$

So far, Kritika has received $1,350+900=2,250$ surveys.

Kritika needs $3,800-2,250=1,550$ additional surveys.

Given that Kritika receives $1$ completed survey for every $5$, she sends out, she will need to send out at least $5\times 1,550=7,750$ surveys.

Therefore, the correct answer is (C).

Then $s\ge 7750$