Question

Concerned with poverty, 27 adults conduct a survey. According to the results 35% of adults are concerned with poverty. Let x= number of adults surveyed and y= adults concerned with poverty. If 200 adults are surveyed how many are concerned with poverty?

Answer 1

70

Explanation:

In this problem, 27 adults conduct a survey.

In the results of the survey, it is found that 35% of the adults are concerned with poverty.

If we call:

x = number of adults surveyed

y = adults concerned with poverty

This means that we can write the following relationship:

`y=0.35x` (1)

where
`0.35` represents the percentage of adults concerned with poverty, rewritten in decimal form (
`0.35=(35)/(100)`)

Later, we are told that 200 adults are surveyed, so now we have

x = 200

So substituting into eq(1) we can find how many of these adults are concerned with poverty:

`y=0.35\cdot 200 =70`