Final answer:
To find the number of dandelions in the garden when the ratio of dandelions to marigolds is 11 to 4 and there are 44 marigolds, set up a proportion and solve for x.
Step-by-step explanation:
To find the number of dandelions in the garden, we first need to find the ratio of dandelions to marigolds. The given ratio is 11 to 4, which means for every 11 dandelions, there are 4 marigolds. If there are 44 marigolds in the garden, we can set up a proportion:
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- 11 dandelions / 4 marigolds = x dandelions / 44 marigolds
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- Cross multiply to solve for x: 11 dandelions * 44 marigolds = 4 marigolds * x dandelions
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- Divide both sides by 4 marigolds to isolate x: (11 * 44) / 4 = x dandelions
Simplifying the equation gives us x = 121 dandelions.