Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. H
2 answers:
Answer: There were 7 children
Step-by-step explanation:
Let's use <em>x </em>to represent the children and <em>y </em>to represent the adults.
We know they combine to make a group of 25 people so x+y=25
We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201
I will solve by substitution.
Solve for y in the first equation
Sub in our value for y into the other equation and solve for x
Step 1) Simplify
Step 2) Subtract 250 from both sides
Step 3) Divide both sides by -7
You might be interested in
Answer:
Step-by-step explanation:
The equation of the line through the point &
can be represented by:
Making m the subject;
∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;
m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;
∴
-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴