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guddo
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In working out a family budget, a couple estimates the amounts F and T 27 Jan 2024, 05:20
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71% (01:40) correct 29% (01:47) wrong based on 880 sessions

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In working out a family budget, a couple estimates the amounts F and T for the family's annual food expenditure and tax liability, respectively. They assume that the maximum errors in these estimates are 10 percent and 15 percent, respectively. Based on these assumptions, which of the following is the maximum percent error in the estimate for the sum of these two budget amounts?

A. \(12.5\%\)

B. \([(0.1F + 0.15T)]*100]\%\)

C. \([(1.1F + 1.15T)]*100]\%\)

D. \([\frac{0.1F + 0.15T}{F + T}*100]\%\)

E. \([\frac{1.1F + 1.15T}{F + T}*100]\%\)

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Bunuel
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In working out a family budget, a couple estimates the amounts F and T 27 Jan 2024, 05:26
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guddo
In working out a family budget, a couple estimates the amounts F and T for the family's annual food expenditure and tax liability, respectively. They assume that the maximum errors in these estimates are 10 percent and 15 percent, respectively. Based on these assumptions, which of the following is the maximum percent error in the estimate for the sum of these two budget amounts?

A. \(12.5\%\)

B. \([(0.1F + 0.15T)]*100]\%\)

C. \([(1.1F + 1.15T)]*100]\%\)

D. \([\frac{0.1F + 0.15T}{F + T}*100]\%\)

E. \([\frac{1.1F + 1.15T}{F + T}*100]\%\)

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Assuming F and T are the actual annual food expenditure and tax liability, respectively, the maximum error is 0.1F + 0.15T. Expressed as the percentage of the actual, the error is \([\frac{0.1F + 0.15T}{F + T} * 100]\%\).

Answer: D.
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CS0509
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In working out a family budget, a couple estimates the amounts F and T 22 Aug 2024, 23:44
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­Hi Bunuel

When we say "error" is 10%, i assumed it is 10% above actual (1.1F) or 10% below actual (0.1F). why have we assumed here that it will alway smean below actual?
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In working out a family budget, a couple estimates the amounts F and T 22 Aug 2024, 23:52
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CS0509
­Hi Bunuel

When we say "error" is 10%, i assumed it is 10% above actual (1.1F) or 10% below actual (0.1F). why have we assumed here that it will alway smean below actual?
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­
The maximum errors are 10 percent and 15 percent OF the actual amounts. So, assuming F and T are the actual annual food expenditure and tax liability, respectively, the maximum errors are 0.1F and 0.15T.
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In working out a family budget, a couple estimates the amounts F and T 05 May 2025, 08:45
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Can you please elaborate further, as in why arent we taking 90 , 110 case here? 90% of the ACTUAL AMOUNT AND 110 % OF THE ACTUAL AMOUNT. Couldnt get the point. Thanks. Bunuel
Bunuel
CS0509
­Hi Bunuel

When we say "error" is 10%, i assumed it is 10% above actual (1.1F) or 10% below actual (0.1F). why have we assumed here that it will alway smean below actual?
­
The maximum errors are 10 percent and 15 percent OF the actual amounts. So, assuming F and T are the actual annual food expenditure and tax liability, respectively, the maximum errors are 0.1F and 0.15T.
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In working out a family budget, a couple estimates the amounts F and T 05 May 2025, 09:03
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Aishna1034
Can you please elaborate further, as in why arent we taking 90 , 110 case here? 90% of the ACTUAL AMOUNT AND 110 % OF THE ACTUAL AMOUNT. Couldnt get the point. Thanks. Bunuel
Bunuel
CS0509
­Hi Bunuel

When we say "error" is 10%, i assumed it is 10% above actual (1.1F) or 10% below actual (0.1F). why have we assumed here that it will alway smean below actual?
­
The maximum errors are 10 percent and 15 percent OF the actual amounts. So, assuming F and T are the actual annual food expenditure and tax liability, respectively, the maximum errors are 0.1F and 0.15T.
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The key is that the question asks for the maximum percent error in the estimate, not the actual amount paid after applying the error. So we don’t use 0.9F or 1.1F. Instead, we calculate the possible error amount (0.1F + 0.15T) and express it as a percentage of the actual total (F + T), which gives:

(0.1F + 0.15T)/(F + T) * 100%
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In working out a family budget, a couple estimates the amounts F and T 16 Sep 2025, 07:20
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The wording of the ask here is quite confusing. What I deduced from this is "A is what % of B?". A being the maximum percent error, and B being the sum of the two budget amounts
A is what % of B = (A/B) X 100
So, in this scenario, B = F + T and A = 0.1F + 0.15T, so the answer would be [(0.1F + 0.15T)/(F + T)] X 100
The wording in this question made my head spin during the practice test :facepalm_man:
guddo
In working out a family budget, a couple estimates the amounts F and T for the family's annual food expenditure and tax liability, respectively. They assume that the maximum errors in these estimates are 10 percent and 15 percent, respectively. Based on these assumptions, which of the following is the maximum percent error in the estimate for the sum of these two budget amounts?

A. \(12.5\%\)

B. \([(0.1F + 0.15T)]*100]\%\)

C. \([(1.1F + 1.15T)]*100]\%\)

D. \([\frac{0.1F + 0.15T}{F + T}*100]\%\)

E. \([\frac{1.1F + 1.15T}{F + T}*100]\%\)

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