The cost of 10 oranges and 3 apples is $2.77. Twenty four oranges and 12 apples cost $8.04. How do you find cost of each orange and apple?
An apple costs
From the first relation, we know that
From the second, we know that
Now, there are several ways to solve this system: for example, we can multiply by
Now, subtracting the second equation from the first, we get
Once we know the price of an orange, we can easily get the price of an apple by sostituition: for example, from the first equation we know that
but now we know that an orange costs