Answer:
There are 133 children in the restaurant.
Explanation:
Let t=total people in room
And a = total adults
The first equation is: 2/9 = a/t
The second equation represents the total people in the room
Let c = the number of children
The second equation is: t = a + c
The third equation relates adults to children: c=95+a
First substitute the t in the first equation for t in the second.
2/9=a/(a+c)
Rearrange the third equation to solve for a and get: c-95=a
Subtitute a into the previous equation to get
2/9=(c-95)/(c-95+c) simplifies to 2/9=(c-95)/(2c-95)
Multiply both sides by 9(2c-95)
2(2c-95)=9(c-95)
Distibute the 2 and the 9
4c-190=9c-855
Simplify
655=5c
Solve for c
C = 131Let t=total people in room
And a = total adults
The first equation is: 2/9 = a/t
The second equation represents the total people in the room
Let c = the number of children
The second equation is: t = a + c
The third equation relates adults to children: c=95+a
First substitute the t in the first equation for t in the second.
2/9=a/(a+c)
Rearrange the third equation to solve for a and get: c-95=a
Subtitute a into the previous equation to get
2/9=(c-95)/(c-95+c) simplifies to 2/9=(c-95)/(2c-95)
Multiply both sides by 9(2c-95)
2(2c-95)=9(c-95)
Distibute the 2 and the 9
4c-190=9c-855
Simplify
655=5c
Solve for c
C = 131
