The franklins are taking a cross country trip they will drive 3150 miles in all on the first day they drove 567 miles what perce
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We are given a problem that can be solved using a system of linear equations. Let A, be the number of adults, and S the number of students. Since there are in total 142 people and there were two days, this means that the sum of the number of adults and the number of students must be 284, which can be written mathematically as follows:
This is our first equation. The second equation is found using the total sales of $1948. Since the ticket per adult is $8 and per student is $5, we have the following equations:
To solve this equation we will solve for A in equation (1), by subtracting S to both sides;
Now we will replace this value in equation (2):
Now we will apply the distributive property:
Addins like terms:
Subtracting 2272 to both sides;
Dividing both sides by -3:
Now we replace this value in equation (1), where we have already solved for A:
Therefore, there were sold 108 student tickets and 140 adult tickets.
Answer: Our required linear equation would be
Step-by-step explanation:
Since we have given that
Number of cups = 150
Cost = $20
Number of cups = 400
Cost = $45
Let x be the number of cups, y be the cost .
We will use "Equation of line using Two point slope":
Hence, our required linear equation would be