At the denver zoo, adult admission is $15 and children's is $9 a group of 12 people go to the zoo. their total admission was $150. set up a system of linear equations and solve

The number of adults admitted at the zoo=7

The number of children admitted at the zoo=5

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=12

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=12...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$150

cost per child=$9

number of children=c

cost per adult=$15

number of adults=a

replacing;

(15×a)+(9×c)=150

15 a+9 c=150...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(15 a+9 c=150)

-

9(a+c=12)=9 a+9 c=108

(15 a-9 a)+(9 c-9 c)=(150=108)

6 a=42

a=42/6

a=7

replacing the value for a in equation 1

7+c=12

c=12-7=5

The number of adults admitted at the zoo=7

The number of children admitted at the zoo=5

10% of increase is the final answer! : )

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation: