The correct system of equations would be:
a + c = 45
c = 2a
To solve this system, you can substitute the second equation into the first equation:
a + 2a = 45
3a = 45
a = 15
Then, you can substitute the value of a back into the second equation to find the value of c:
c = 2(15)
c = 30
Therefore, there were 30 children in the group.
A group of 45 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group.
a+c=45 c=2a;15 adults,30 children
a+c=45 a=c+2;30 adults;22 children
a+c=45 c=a+2; 22 adults;30 children
a+c=45 a+2c; 30 adults;15 children
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