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Vera_Pavlovna [14]
4 years ago
11

The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom

es 2:3. How many women were in the theater before these three walked in?
A. 5
B. 6
C. 20
D. 21
Mathematics
1 answer:
34kurt4 years ago
7 0

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

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Step-by-step explanation:

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Hey factory could produce 84 toy robots in one day. The purchasing equipment. Now they can produce 105 robots in one day. What i
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The answer to the question is

25 % increase in production rate

Step-by-step explanation:

To solve the question, we note that

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3 years ago
Which of the following equations represents the line graphed below?
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5 0
3 years ago
A right triangle ABC is shown below: A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. T
Archy [21]

Answer:

w=3

Step-by-step explanation:

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the base is 5 and the height is 3

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4 0
3 years ago
Read 2 more answers
Can someone may help me with solving system of solving equations plz
iris [78.8K]
Let number of small sodas sold be x
# of large sodas sold be y
so
x + y =35
x=35 - y {equation1}
now next equation
0.65x + 0.45y = 18.55 { divide all by 0.50}
1.3x + 0.9y = 37.1 { put x = 35 - y (from eq 1)}
1.3 (35 - y) +0.9y = 37.1
45.5 - 1.3y + 0.9y = 37.1 {subtract 45.5  from both sides}
-0.4y = -8.4 { divide both by -0.4}
y = 21
so #of large sodas sold is 21
# of small sodas sold is 35 -21 = 14


4 0
3 years ago
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