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Problem Solving (PS) | Re: In a garden, there are 5 rose plants for every 7 marigold plants. Ther

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ScottTargetTestPrep wrote:

nick1816 wrote:
In a garden, there are 5 rose plants for every 7 marigold plants. There are 3 marigold plants for every 11 pegunias and 2 pegunias for every 9 cactus plants. What is the minimum number of plants in the garden?

A. 113
B. 793
C. 819
D. 919
E. 988


We can create the ratios:

R : M = 5 : 7

M : P = 3 : 11

P : C = 2 : 9

P, at a minimum, must be 22, so we have:

R : M = 5 : 7

M : P = 6 : 22

P : C = 22 : 99

M, at a minimum is 42, so we have:

R : M = 30 : 42

M : P = 42 : 154

P
...

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