a park charges rupees 10 for adults and rupees 5 for kids how many adults ticket and kids ticket were sold if a total of 548 tickets was sold for
Answers
Let "x" be the number of adults tickets and "y" be the number of kids tickets.
No. of adults tickets + No. of kids tickets = Total
x + y = 548 -------- (2)
Step 2 :
Write an equation which represents the total cost.
Cost of "x" no. adults tickets = 10x
Cost of "y" no. of kids tickets = 5y
Total cost = $3750
Then, we have
10x + 5y = 3750
Divide both sides by 5.
2x + y = 750 -------- (2)
Step 3 :
Solve an equation for one variable.
Select one of the equation, say x + y = 548.
Solve for the variable y in terms of x.
Subtract x from both sides.
(x + y) - x = (548) - x
y = 548 - x
Step 4 :
Substitute the expression for y in the other equation and solve.
2x + y = 750
2x + (548 - x) = 750
Combine like terms.
x + 548 = 750
Subtract 548 from both sides.
x = 202
Step 5 :
Substitute the value of x we got above (x = 202) into one of the equations and solve for the other variable, y.
x + y = 548
202 + y = 548
Subtract 202 from both sides.
y = 346
So, the solution of the system is (202, 346).