# 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?

##### 1 Answer

An apple costs

#### Explanation:

Let's call

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