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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?

User Twinkle
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1 Answer

4 votes

Final answer:

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.

User Lpg
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