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The pie chart shows the percentage distribution of the Walker family’s annual income across various spending categories and savings.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
If the expenditure on apparel exceeds the expenditure on transportation by $2,400, then the Walker family’s total annual income is .
If the Walkers were able to save 10% of the amount currently spent on food, the percentage increase in their savings would be .
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Drop-down 1:
The difference between expenditures on apparel (11%) and transportation (8%) is 3 percentage points. Since this 3% corresponds to $2,400, it follows that 1% of the annual income is $800. Therefore, the total annual income is $80,000.
Drop-down 2:
Food accounts for 24% of the annual income. Saving 10% of this amount means saving 2.4% of the income. Since the original savings is 12%, the increase is 2.4% over 12%, which is (2.4% / 12%) * 100% = 20% increase in savings.
Q1- Let "x" be the total Income. Thus, 8X + 2,400 = 11X. Therefore, X is 800. But remember 8 is 8%. Thus multiply by 100 to get 80,000. ( Instead of 8X you can take 0.08X + 2400 = 0.11X).
Q2- I accept I might have cheated here....idk! I assumed the total income as 100. Current Food therefore as 24 and total savings as 12. If we save 10% from Food Expenses then 2.4 will be the extra savings and the new savings will be 14.4. Thus the increase in the Total Savings will be 20%. (12*1.2=14.4).
1. Transportation is 8% and Apparel is 11%. Diff between them is 3%. So 3 percent accounts for 2400. 100% will account for 80000. Or you can simply find 99 percent which is 3*33. So 79200 (2400*33), the only option greater than this value is 80000.
2. 10% of 24 is 2.4. This will be 2.4/12 % of total savings. 24/120 which is 2/10 which is 1/5 which is 20%.