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Ludmilka [50]
3 years ago
8

Can someone help me with this plz? Plz show ur work .... A local high school collected $1590 from 321 people who attended a foot

ball game. The price of each adult admission is $6. People between the ages of 4-17 paid a children admission rate of $4. How many adult tickets and child tickets were sold that day?
Mathematics
1 answer:
madreJ [45]3 years ago
5 0
To solve this problem we can use system of equations.
First equation can be
321=x+y 
where x - ppl between 4-17 and y - adult
second equation can be as follows
1590=6*y+4*x
So we have
\left \{ {{321=x+y} \atop {1590=6y+4x}} \right.
From first equation we get value of x in times of y
x=321-y
Now we can substitute it into second eq.
1590=6y+4(321-y) 
now simply if
1590=6y+1284-4y            /-1284 both sides
306=2y                /:2 divide both sides by 2
y=153 
Now we can back substitude
x=321-153
x=168
So we get result
\left \{ {{y=153 - adult} \atop {x=168 - kids}} \right.

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lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

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We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

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n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

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Explanation:
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