Five apples and four oranges cost $\$ 11.80$. One apple and six oranges cost $\$ 9.90$. How much does one orange cost?
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Answer

So, the cost of one orange is $\boxed{1.45}$.

Steps

Step 1 ：Let's represent the problem with the following equations, where 'a' represents the cost of one apple and 'o' represents the cost of one orange:

Step 2 ：\[5a + 4o = 11.80\]

Step 3 ：\[a + 6o = 9.90\]

Step 4 ：We can solve this system of equations to find the cost of one orange.

Step 5 ：The solution to the system of equations is $a = 1.20$ and $o = 1.45$.

Step 6 ：So, the cost of one orange is $\boxed{1.45}$.

Five apples and four oranges cost $\$ 11.80$. One apple and six oranges cost $\$ 9.90$. How much does one orange cost?\[\$\]

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Five apples and four oranges cost $\$ 11.80$. One apple and six oranges cost $\$ 9.90$. How much does one orange cost?
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