The bar graph shows the average annual spending per person on selected items in 2010. The combined spending on housing, vehicles/gas, and health care was $\$ 13,908$. The difference between spending on housing and spending on vehicles/gas was $\$ 3835$. The difference between spending on housing and spending on health care was $\$ 758$. Find the average per-person spending on housing, vehicles/gas, and health care in 2010. Find the average per-person spending on housing in 2010. $\$ \square$

Step 1 ：Let's denote the spending on housing as H, on vehicles/gas as V, and on health care as C.

Step 2 ：From the problem, we know that the total spending on these three items is \(H + V + C = 13908\).

Step 3 ：We also know that the difference between spending on housing and vehicles/gas is \(H - V = 3835\).

Step 4 ：And the difference between spending on housing and health care is \(H - C = 758\).

Step 5 ：We can solve this system of equations to find the values of H, V, and C. However, since the question only asks for the spending on housing, we only need to find the value of H.

Step 6 ：Solving the equations, we find that \(H = 6167\).

Step 7 ：Final Answer: The average per-person spending on housing in 2010 was \(\boxed{6167}\) dollars.