Mrs. Smith took her family and friends to the movies. There was a total of 15 people. Child tickets cost 5$ and adult tickets cost 10$. She spent a total of 110$. How many adults went to the movies? Children?

children= 8, adult= 7

Step-by-step explanation:

Let the number of children be x

Let the number of adults be y

There was a total of 15 people. This can be represented as:

x + y = 15 equation i

Child tickets cost 5$ and adult tickets cost 10$. She then spent a total of 110$. This can be represented as:

5x + 10y = 110 equation ii

Combine both equations

x + y = 15 equation i

5x + 10y = 110 equation ii

Multiply equation I by 5

Multiply equation ii by 1

5(x + y = 15)

1(5x + 10y = 110)

5x + 5y = 75 equation iii

5x + 10y = 110 equation iv

Subtract equation iv from iii

-5y = -35

y = 35/5

y = 7

Number of adults is 7

Since x + y = 15

x = 15 - 7

x = 8

Number of children is 8

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: