Annual Spending per Person, Adjusted tor Tilation The bar graph shows the averag

Question

Annual Spending per Person, Adjusted tor Tilation 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 $13,838. The difference between spending on housing and spending on vehicles/gas was $3810. The difference between spending on housing and spending on health care was $649. Find the average per-person spending on housing, vehicles/gas, Health. care Housing 6000 5000 4000 Vehicles gas and health care in 2010. 1000 Find the average per-person spending on housing in 2010.

Explanation / Answer

Let the average per-person spending on housing, vehicles/gas and healthcare in 2010 be $ x,y and z respextively. Then x+y+z = 13838…(1), x-y = 3810…(2), and x-z= 649…(3). Now, on adding the 3 equations, we get x+y+z+x-y+x-z = 13838+3810+649 or, 3x = 18297 so that x = 18297/3 =6099. Now, on substituting x = 6099 in the 2nd and the 3rd equations, we get 6099-y = 3810 or, y = 6099-3810 = 2289 and 6099-z= 649 or, z= 6099-649 = 5450.

Thus, the average per-person spending on housing in 2010 = $ 6099

The average per-person spending on vehicles/gas in 2010 = $ 2289

The average per-person spending on heathcare in 2010 = $ 5450

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