Answer:
5 children & 7 adults
Step-by-step explanation:
6a+10b=100$
a=5
b=7
(6×5)+(10×7)=30$+70$=100$
The required system of equation is given be x + y = 12 and 10x +6y = 100.
A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
The equation is the relationship between variables and is represented as an example y = x +2 of a polynomial equation.
Let the number of adults be x and the number of a child be y.
Total people = x + y
20 = x + y - - - - -(1)
The cost to go to the movie is $10 for an adult and $6 for a child.
10x + 6y = total cost
The total cost for the group was $100.
10x + 6y = 100 - - - - (2)
Equations 1 and 2 represent the required system of equations.
Thus, the required system of equation is given be x + y = 12 and 10x +6y = 100.
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