Answer:
Therefore, the expenditure on fuel is approximately $6,666.67.
Explanation:
According to the given pie chart, the expenditure on housing is 10%. If the expenditure on housing is $12,000, we can calculate the total expenditure of the family by using the concept of proportions.
First, we need to find the proportion of the housing expenditure in relation to the total expenditure. To do this, we can set up the following proportion:
10% (housing expenditure) / 100% (total expenditure) = $12,000 (housing expenditure) / x (total expenditure)
Simplifying the proportion, we get:
0.1 = 12,000 / x
Cross-multiplying, we have:
0.1x = 12,000
Dividing both sides by 0.1, we find:
x = 12,000 / 0.1
x = 120,000
So, the total expenditure of the family is $120,000.
To find the expenditure on fuel, we can use the proportion of the fuel sector in relation to the total expenditure. According to the pie chart, the fuel sector is represented by an angle of 20°. We can calculate the expenditure on fuel by setting up the following proportion:
20° (fuel sector) / 360° (total angle of the pie chart) = x (expenditure on fuel) / $120,000 (total expenditure)
Simplifying the proportion, we get:
20/360 = x/120,000
Dividing both sides by 20, we have:
1/18 = x/120,000
Cross-multiplying, we find:
x = (1/18) * 120,000
x = 6,666.67
Therefore, the expenditure on fuel is approximately $6,666.67.