Ten adults and five children can watch a movie for 125 dollars. But eight adults and ten children can watch the movie for 130 dollars. How much would it cost for 6 adults and 10 children to watch the movie

$110

Step-by-step explanation:

Let's assume that the cost per adult is $x and that of the children is $y

10 adults and 5 children can watch a movie for $125

And 8 adults and 10 children can watch the same movie for $130

The above will lead us to the equation 1 and 2

10x + 5y = 125 equation 1

8x + 10y = 130 equation 2

Make x the subject of the formula in equ 1

X =( 125 - 5y)/10

Replace in equation 2

8(125-5y)/10) +10y = 130

100 + 6y = 130

6y = 30

Y = 5

Substitute y = 5 in equation 1

10x + 5y = 125

10x = 100

X = 10

Therefore, the cost for adults is $10 per person while that of children is $5

For 6 adults and 10 kids,it will be

(10 × 6) + (5 × 10) = $110

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is