The relationship between Sue's age and Bob's age is 4 to 9. Meanwhile, the relationship between Sue's age and Joe's age is 5 to 11. What is the ratio of Bob's age to Joe's age?

Answer Choices

Correct answer marked below

24 to 20

36 to 30

44 to 36

45 to 44

Correct

49 to 44

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Official Explanation

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The relationship between Sue's age and Bob's age is 4 to 9. The relationship between Sue's age and Joe's age is 5 to 11. To find the ratio of Bob's age to Joe's age, we can express Sue's age in terms of a common multiple. Let Sue's age be a multiple of both 4 and 5. The least common…

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Comments

AnhNov 30, 2024

greatt question!

GerardoMay 26

thanks, this one was pretty quick once you notice Sue is the common link

MariahAug 15

wait why do we have to combine the ratios? can't we just compare 9 and 11 directly?

TumulAug 22

no because Sue's number is different in each ratio (4 vs 5), so you have to make Sue the same value first

KaushikAug 16

huh, I got 45 to 44 but I honestly just multiplied stuff and hoped. is that actually the right way?

SethAug 27

B and C both feel like bait since they aren't even in lowest terms. took me a sec to stop second-guessing D.

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.