Question

100 POINTS!!

A matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. Which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers? (4 points) 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a − c = 70 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70 28 children and 7 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70 28 children and 7 adults Equation 1: a + c = 35 Equation 2: 6a − c = 70

Answer 1

We know: The total number of tickets is 35. Another way of saying this is the number of adults plus the number of children equals 35. i.e.:

$Adults+Children=35$

Using the symbols provided we can write this is as:

$a+c=35$


We also know: The total money collected is $75. We know that  $6 was collected for every adult or $6a$ and $1 for every child or $1c$. i.e.:

$(SixDollars \times Adults)+(OneDollar \ times Children)= 70$

Using the symbols provided and adding it all up we can write this is as:

$6a+1c=70$

Equation 1: $a+c=35$
Equation 2: $6a+c=70$

Answer 2

Hello!

So the total number of tickets are 35

The equation would be A6 + c1 = 70