Question

At a soccer stadium, a child's entrance ticket is 20% of that for an adult. A child's entrance ticket is 10.
1. How much does an adult entrance ticket cost?
2. What is the total amount that a group of three children and four adults should pay?

Answer 1

1. Let's denote the cost of an adult entrance ticket as \( x \). According to the problem, a child's ticket costs 20% of the adult ticket, which is given as 10.

Thus, we can write the equation:
\[
0.20x = 10
\]
To find \( x \), we can solve for it:
\[
x = \frac{10}{0.20} = 10 \div 0.20 = 10 \times 5 = 50
\]
So, the cost of an adult entrance ticket is \( 50 \).

2. Now, to find the total amount for three children and four adults:

- Cost for three children:
\[
\text{Cost for 3 children} = 3 \times 10 = 30
\]

- Cost for four adults:
\[
\text{Cost for 4 adults} = 4 \times 50 = 200
\]

Now, we can find the total amount:
\[
\text{Total cost} = \text{Cost for 3 children} + \text{Cost for 4 adults} = 30 + 200 = 230
\]

Therefore, the total amount that the group should pay is \( 230 \).