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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and

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Bunuel
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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   17 Jan 2020, 00:43
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A
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C
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55% (hard)

Question Stats:

69% (02:55) correct 31% (03:07) wrong based on 84 sessions
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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and 11 : 10, respectively. If Amy and Bob save $7900 and $21000 respectively, what are their incomes ?

A. Amy = $10,000, Bob = $16,000
B. Amy = $15,000, Bob = $24,000
C. Amy = $20,000, Bob = $32,000
D. Amy = $25,000, Bob = $40,000
E. Amy = $30,000, Bob = $48,000
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C
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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   17 Jan 2020, 12:16
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Solution



Given
In this question, we are given that
    • The ratio of the income and expenditure of Amy and Bob are 5: 8 and 11: 10, respectively
    • Amy and Bob save $7900 and $21000 respectively

To find
We need to determine
    • The individual incomes of Amy(A) and Bob(B)

Approach and Working out
Let us assume that,
    • The incomes of A and B are 5x and 8x respectively
    • The expenditures of A and B are 11y and 10y respectively

Savings of
    • A: 5x – 11y = 7900
    • B: 8x – 10y = 21000
    Solving the equations, we get: x = 4000, and y = 1100.

Hence, incomes of
    • A = 5 x 4000 = 20000
    • B = 8 x 4000 = 32000

Thus, option C is the correct answer.

Correct Answer: Option C
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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   18 May 2021, 06:30
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Let's try by option. Bob's savings is $21,000, so option A is out. Income in option B of Bob = 24,000 is close to savings 21,000. So, let's try C.

Option A: A. Amy = $20,000, Bob = $32,000

Income ratio check: A: B = 5 : 8 - Correct

A: 20,000 - 7,900 = 12,100
B: 32,000 - 21,000 = 11,000

Expense ratio check: A: B = 11 : 10 [After dividing by 11] - Correct

Answer C
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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   18 May 2021, 09:59
Bunuel wrote:
The ratio of the income and expenditure of Amy and Bob are 5 : 8 and 11 : 10, respectively. If Amy and Bob save $7900 and $21000 respectively, what are their incomes ?

A. Amy = $10,000, Bob = $16,000
B. Amy = $15,000, Bob = $24,000
C. Amy = $20,000, Bob = $32,000
D. Amy = $25,000, Bob = $40,000
E. Amy = $30,000, Bob = $48,000


Shouldn't the question be incomes and expenditures instead of singular word income and expenditure. i thought 5:8 is ratio of income and expenditure of Amy's Bunuel
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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   18 May 2021, 10:24
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It sounds really weird if income and expenditure are plural. Note the article in front of income and expenditure. For some reason you dropped it in your writing…. Making it plural will make it sound weird.

The only potential improvement I could see is making ratio plural. Making it The ratios of Amy and Bob…. Are. But it is harder to read that way.

Good thinking but I would probably stop picking apart words in math questions 😎. There isn’t as much of a grammatical regiment that’s followed in math questions, recipes, and signage. As you have seen, several experts have passes it by.

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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink] New post   10 Apr 2023, 23:55
savings total: $7900 + $21000 = $28900
Expenditure ratio: 11:10 (11+10=21) (TOTAL)

Income - savings = Expenditure
Option C: Total income = $52000 - $28900 = 23100 (only option divisible by 21)
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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and [#permalink]
10 Apr 2023, 23:55
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