You go to the local fruit stand to get some fresh produce. The person in front of you got 6 oranges and 8 pears for $13. Your total came to $11 for 4 oranges and 10 pears. Write a system of equations given this information.
Question
You go to the local fruit stand to get some fresh produce. The person in front of you got 6 oranges and 8 pears for 11 for 4 oranges and 10 pears. Write a system of equations given this information.
Solution
Let's denote the cost of an orange as "o" and the cost of a pear as "p".
From the information given, we can form two equations.
The first equation comes from the person in front of you who bought 6 oranges and 8 pears for $13. This can be written as:
6o + 8p = 13
The second equation comes from your purchase of 4 oranges and 10 pears for $11. This can be written as:
4o + 10p = 11
So, the system of equations is:
6o + 8p = 13 4o + 10p = 11
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