Agroup of 42 people go to the zoo. the admission price is 6$ for adults and 3$ for kids. if the group spent 162$, how many adults and kids were in the group?

12 adults , 30 kids

Step-by-step explanation:

Let x represent the number of adult and y represent the number of kids , then from the first statement ;

x + y = 42 equation 1

For adults , the admission price is $6, the total cost for x adults will be 6x, Also , the admission price for kids is $3 ,this means that the total cost for y kids is 3y. The group spent $162 in all , this means that

6x + 3y = 162 equation 2

Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is

x = 42 - y equation 3

substitute x = 42 - y into equation 2 , we have

6(42 - y ) + 3y = 162

252 - 6y +3y = 162

252 - 3y = 162

Add  3y to both sides of the equation , we have

252 = 162 + 3y

subtract 162 from both sides of the equation

252 - 162 = 3y

90 = 3y

divide through by 3

Therefore : y = 30

substitute y = 30 into equation 3 ,that is

x = 42 - y

x = 42 - 30

x = 12

Therefore : there are 12 adults and 30 kids

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

96 39 cause 135 -96=39 im smart (i used a calculater)