Question

WILL GIVE BRAINLIEST A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 30, and the total money collected was $50. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?

Answer 1

Hello there!

A = number of adults
C = number of children

Total number = A + C
A + C = 30

Total cost = A cost + C cost
Total cost = $50

Total cost = 3a + c
Equation: a + c = 30
                3a + c = 50

2a = 20   A = 10

10 + c = 30
C = 20

The answer is 
20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50

Hope This Helps You!
Good Luck :)

Answer 2

Answer:
20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50
$total~ of ~adults ~and~ children~ was~ 30 : a + c = 30 3 per adult, 1 per child....total of 50 : 3a + c = 50 a + c = 30 a = 30 - c -- now sub 30 - c in for a in the other equation 3a + c = 50 3(30 - c) + c = 50 -- distribute through the parenthesis 90 - 3c + c = 50 -- subtract 90 from both sides -3c + c = 50 - 90 -- simplify -2c = - 40 -- divide both sides by -2 c = 20 a + c = 30 a + 20 = 30 a = 30 - 20 a = 10 so there are 20 children and 10 adults$