Four adults and three children go to a theatre for $74, whereas two adults and five children are charged $58. Find the price of an adult’s ticket and a child’s ticket.

adult’s ticket = $14   ||     child’s ticket = $6

Step-by-step explanation:

Let adults ticket cost be a , children's ticket cost be c

4a + 3c = $74 from theory 1

2a + 5c = $58 from theory 2

Making a the subject for both:

4a + 3c = $74

4a = 74 - 3c

a = ( 74 - 3c )/4 equation 1

2a + 5c = $58

2a = 58 - 5c

a = ( 58 - 5c )/2 equation 2

Solving simultaneously:

( 58 - 5c )/2 =  ( 74 - 3c )/4

4( 58 - 5c ) = 2( 74 - 3c )

232 - 20c = 148 -6c

232 -148 = -6c + 20c

84 = 14c

c = $6

Each children's ticket cost is $6

Then the adults ticket cost: ( 74 - 3c )/4

                                            : ( 74 - 3(6) )/4

                                            : $14

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)