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<em>An adult ticket costs $205 and a child ticket costs $49.</em>
<h2>Explanation:</h2>Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:
<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>
To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:
- Two families are planning a trip to Disney.
- The Smith family bought tickets for 2 adults and 3 children for $557.
- The Jones family bought tickets for 2 adults and 1 child for $459.
Let:
For the Smith family:
Cost for the 2 adults:
Cost for the 3 children:
Total cost:
For the Jones family:
Cost for the 2 adults:
Cost for the 1 child:
Total cost:
So we have the following system of linear equations:
Subtracting (2) from (1):
Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>
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<h2>Learn more:</h2>System of linear equations: brainly.com/question/13799715
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