Question Find the number of lions at the zoo given that there are 78 penguins and the ratio of penguins to lions is 13: $x$ .

Studdy Solution

STEP 1

Assumptions
1. The ratio of penguins to lions is 13 to 1.
2. The total number of penguins is 78.

STEP 2

Set up the proportion using the ratio of penguins to lions and the total number of penguins.
$\frac{\text{Number of penguins}}{\text{Number of lions}} = \frac{13}{1}$

STEP 3

Let $x$ represent the number of lions. We can then express the number of penguins as $13x$ since there are 13 penguins for every lion.

STEP 4

Since we know the total number of penguins is 78, we can set up the equation:
$13x = 78$

STEP 5

Now solve for $x$ by dividing both sides of the equation by 13.
$x = \frac{78}{13}$

STEP 6

Calculate the value of $x$ .
$x = \frac{78}{13} = 6$
The zoo houses 6 lions.

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Question Find the number of lions at the zoo given that there are 78 penguins and the ratio of penguins to lions is 13: $x$ .

Studdy Solution

STEP 1

Assumptions
1. The ratio of penguins to lions is 13 to 1.
2. The total number of penguins is 78.

STEP 2

Set up the proportion using the ratio of penguins to lions and the total number of penguins.
$\frac{\text{Number of penguins}}{\text{Number of lions}} = \frac{13}{1}$

STEP 3

Let $x$ represent the number of lions. We can then express the number of penguins as $13x$ since there are 13 penguins for every lion.

STEP 4

Since we know the total number of penguins is 78, we can set up the equation:
$13x = 78$

STEP 5

Now solve for $x$ by dividing both sides of the equation by 13.
$x = \frac{78}{13}$

STEP 6

Calculate the value of $x$ .
$x = \frac{78}{13} = 6$
The zoo houses 6 lions.

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Question Find the number of lions at the zoo given that there are 78 penguins and the ratio of penguins to lions is 13:xxx.

Studdy Solution

STEP 1

Assumptions1. The ratio of penguins to lions is 13 to 1.2. The total number of penguins is 78.

STEP 2

Set up the proportion using the ratio of penguins to lions and the total number of penguins.Number of penguinsNumber of lions=131\frac{\text{Number of penguins}}{\text{Number of lions}} = \frac{13}{1}Number of lionsNumber of penguins​=113​

STEP 3

Let xxx represent the number of lions. We can then express the number of penguins as 13x13x13x since there are 13 penguins for every lion.

STEP 4

Since we know the total number of penguins is 78, we can set up the equation:13x=7813x = 7813x=78

STEP 5

Now solve for xxx by dividing both sides of the equation by 13.x=7813x = \frac{78}{13}x=1378​

STEP 6

Calculate the value of xxx.x=7813=6x = \frac{78}{13} = 6x=1378​=6The zoo houses 6 lions.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question Find the number of lions at the zoo given that there are 78 penguins and the ratio of penguins to lions is 13: $x$ .

Assumptions
1. The ratio of penguins to lions is 13 to 1.
2. The total number of penguins is 78.

Set up the proportion using the ratio of penguins to lions and the total number of penguins.
$\frac{\text{Number of penguins}}{\text{Number of lions}} = \frac{13}{1}$

Let $x$ represent the number of lions. We can then express the number of penguins as $13x$ since there are 13 penguins for every lion.

Since we know the total number of penguins is 78, we can set up the equation:
$13x = 78$

Now solve for $x$ by dividing both sides of the equation by 13.
$x = \frac{78}{13}$

Calculate the value of $x$ .
$x = \frac{78}{13} = 6$
The zoo houses 6 lions.