Question

2. The cost of admission to a zoo is AED10 for adults and AED5 for children. A group of 5 adults and 3 children paid a total of AED55 to enter the zoo. How many adults and children were in the group?

Answer 1

To solve this problem, we can set up a system of equations. By solving the system of equations, we can determine the number of adults and children in the group. There were 3 adults and 5 children in the group.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say x is the number of adults and y is the number of children. We are given two pieces of information: the cost of admission for each group and the total cost paid by the group. We can set up two equations:

10x + 5y = 55 (equation 1)

x + y = 8 (equation 2)

We can solve equation 2 for x and substitute it into equation 1:

• x = 8 - y

Substituting x into equation 1:

• 10(8 - y) + 5y = 55

Simplifying the equation:

• 80 - 10y + 5y = 55

Combining like terms:

• 80 - 5y = 55

Subtracting 80 from both sides:

• -5y = -25

Dividing both sides by -5:

• y = 5

Substituting the value of y into equation 2:

• x + 5 = 8

Subtracting 5 from both sides:

• x = 3

So, there were 3 adults and 5 children in the group.