Maths Olympiad Prep

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, 2009

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Angela and Barry share a piece of land. The ratio of the area of Angela's portion to the area of Barry's portion is 3:23:2. They each grow corn and peas on their piece of land. The entire piece of land is covered by corn and peas in the ratio 7:37:3. On Angela's portion of the land, the ratio of corn to peas is 4:14:1. What is the ratio of corn to peas for Barry's portion?

(A) 11:911:9 (B) 2:32:3 (C) 3:23:2 (D) 3:73:7 (E) 1:41:4

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.