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Peyton is filling a bird bath in her front yard. She notices that X gallons of water fills 3/5 of the basin. Write and solve an equation to find the amount of water needed to fill the entire birdbath basin. Explain your answer in words

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Final answer:

To find the amount of water needed to fill the entire birdbath basin, set up a proportion and solve for X.

Step-by-step explanation:

To find the amount of water needed to fill the entire birdbath basin, we need to set up a proportion.

Let X represent the total amount of water needed to fill the birdbath basin.

We know that X gallons of water fills 3/5 of the basin.

So, we can set up the proportion:

X gallons / 1 basin = 3/5 gallons / 1 basin

Cross-multiplying, we get:

5X = 3

Dividing both sides by 5, we find that:

X = 3/5 gallons

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