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MA_775_DIABLO [31]
3 years ago
10

A theatre collected $100 from all the 100 attendees in the audience. The prices of the tickets were $10 for adults, $3 for frien

ds of the theatre, and $0.5 for children. There was at least 1 of each ticket sold. How many adults, friends of theatre, and children were in the audience?
I tried to do this with a matrix, but it didn't work out, so how should I approach this?
Mathematics
1 answer:
monitta3 years ago
4 0
You can write a system of equations, I'm pretty sure. 
the first equation would be 
10a+3f+.5c=100
and 
a+f+c=100

For the first equation, its the price of each ticket that adds up to 100 tickets
For the second equation, its the amount of people that adds up to 100 people.

I'm pretty sure this is the route to go but I haven't solved it for myself (yet) I'll probably comment the answer if you need me to
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3 over 5 is 30% of what number?
denis23 [38]
3/5 = 0.3 * x
3/5 is 30% of x - This is how they match up from the word problem to a number sentence

So to solve it...
3/5 = 0.3x
x = 3/5 ÷ 0.3 = 2
8 0
3 years ago
the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age?​
Mrrafil [7]

Answer:

sadia is 32

Step-by-step explanation:

sadia : father : total

3          6          9

Divide 96 by 9

96/9 = 32/3

Multiply each by 32/3

sadia :     father : total

3*32/3    6*32/3  9*32/3

32                 64          96

4 0
3 years ago
7. Paula reduced the size of a rectangle to a height of 2 inches.
drek231 [11]

Answer: if the width was not effected then the width is still 24 inches

if the area stayed the same, then

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area=legnth times width

288=12 times 24

so the new height./legnth =2

288=2 times width

divide by 2

144=width'

the new width =144

6 0
3 years ago
Tamara is a real estate agent and makes 5% commission on her total sales. She sells a home for $350,000. What is her commission?
larisa [96]
So this is basically a ratio and the form I use to solve these is
Is. = %
Of. 100
So we're looking for 5% of the 350,000 which will be x

X. = 5
350000. 100
Cross multiply
100x=1750000
Divide by 100

X=17500

7 0
3 years ago
Read 2 more answers
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified ra
nikklg [1K]

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

7 0
3 years ago
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