Use the Substitution Method to solve the system of equations created in Part A.
A
x+y=2200 & (I) 9x+6y=14 850 & (II)
B
550 adults and 1650 children
Practice makes perfect
We are told the cost of zoo admission for children and adults.
We will write a system of equations representing this situation. Let x represent the number of adults and let y represent the number of children who visited the zoo on Monday. We can write our first equation because we know that the total number of visitors on Monday was 2200.
x+y= 2200
The cost of admission for adults is $9. To find out how much money the zoo received from adults, we need to multiply the number of adults x by the cost of admission. We follow the same logic for children using their cost of admission, $6.
Adults' Tickets:&& x* $9
Children's Tickets:&& y* $6
Now, we can write our second equation because we know that the total earnings from admissions was $14 850 on Monday.
x* $9+y* $6= $14 850
Next, we combine the two equations we created and make them into one system. For simplicity, we will remove the dollar sign from the second equation.
x+y= 2200 & (I) 9x+ 6y= 14 850 & (II)
We want to know how many children and how many adults visited the zoo. We can solve the system of equations we created in Part A to find these numbers. Let's take a look at it.
x+y=2200 & (I) 9x+6y=14 850 & (II)
We will use the Substitution Method to solve this system. When using the Substitution Method, there are three steps.
