Answer:
Explanation:
Let's use the following variables to solve the problem:
Let's call the number of adult tickets sold "a"
Let's call the number of child tickets sold "c"
Let's call the total cost "C" (in pounds)
From the problem statement, we know the following:
The cost of an adult ticket is £7.70
The cost of a child ticket is £4.20
The total cost of all the tickets sold is C
We can set up an equation based on this information:
C = 7.7a + 4.2c
We also know that the value of C is a whole number greater than 90 and less than 96. So we can write:
90 < C < 96
We need to find the value of C that satisfies both of these conditions. We can start by trying some values of a and c and seeing if they give us a value of C that satisfies the conditions. One way to do this is to use trial and error.
Let's start with a = 10 (meaning 10 adult tickets were sold). We can plug this into our equation and solve for c:
C = 7.7a + 4.2c
C = 7.7(10) + 4.2c
C = 77 + 4.2c
To satisfy the conditions, C must be greater than 90 and less than 96. Let's see if any value of c satisfies these conditions:
90 < C < 96
90 < 77 + 4.2c < 96
Subtract 77 from all parts of the inequality:
13 < 4.2c < 19
Divide all parts of the inequality by 4.2:
3.1 < c < 4.5
Since c must be a whole number, the only possible value is 4. But let's check if this value of c gives us a value of C that satisfies the conditions:
C = 77 + 4.2c
C = 77 + 4.2(4)
C = 94.8
This value of C is very close to 95, which satisfies both conditions (greater than 90 and less than 96). So the value of C is approximately £94.80.
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Complete Question:
At a cinema a child's ticket costs £4.20 and an adult's ticket costs
£7.70. When a group of adults and children went to see a film, the
total cost was £C, where C is a whole number greater than 90 and
less than 96.
What is the value of C?