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There are 15 cats ready for new homes at the pet store. There are 5 cages with cats in
the store. If each cage has the same number of cats, how many cats are in each cage?
Write two equations to model your work.



The leaves of a poison ivy plant are found in clusters of 3. One poison ivy plant has' a
total of 21 leaves. How many leaf clusters does this plant have? Write two equations to
model your work.

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There are 15 cats ready for new homes at the pet store There are 5 cages with cats in the store If each cage has the same number of cats how many cats are in ea class=

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Answer:

Question 1 Equation: [tex]\frac{15}{x} = 5[/tex] ; [tex]5x = 15[/tex]    Value of unknown (x):  3

Question 2 Equation: [tex]\frac{21}{x} = 3[/tex] ; [tex]3x = 21[/tex]   Value of unknown (x): 7

Step-by-step explanation:

Question 1.

First, 5 cages must have an equal amount of cats in each cage. So, if we divide the number of cats by the number of cages, we will get the number of cats in each cage. [tex]\frac{15}{x}[/tex] = [tex]5[/tex]

The second step is to simplify this equation to get an answer for the unknown. So, multiplying by x on both sides, we get:

[tex]15 = 5x \\5x = 15[/tex]

Further simplifying by dividing both sides of the equation by 5 we get:

[tex]x = 3[/tex]

The number of cats in each cage is 3

Question 2.

Every poison ivy plant is found in clusters of 3, and there are 21 leaves. Since we know that there are only 3 leaves in one cluster, we can divide 21 by 3 to get the number of clusters this plant has.

[tex]\frac{21}{x} = 3[/tex]

Further simplifying by multiplying both sides by x, we get:

[tex]21 = 3x\\3x = 21[/tex]

Finally, the we get the answer by dividing both sides by 3:

[tex]x = 7[/tex]

This poison ivy plant has 7 clusters of leaves.

Hope this helped!

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