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jeka94
3 years ago
7

135 is 30% of what number

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
So,

135 is 30% of x

135 = 30% of x

135 = 30% * x

135 = 0.3x

135= \frac{3}{10}x

Multiply both sides by the reciprocal.

135* \frac{10}{3} =x

\frac{135*10}{3} =x

\frac{45*10}{1}\ or\ 450 =x

135 is 30% of 450.
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A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
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Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

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There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

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