Math  /  Data & Statistics

Question16 of the 40 penguins at the Edgewood Zoo were born at the zoo. Shade the grid to show the fraction of the penguins that were born at the zoo. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
What percent of the penguins were born at the zoo? You can use your model to help. \square \%

Studdy Solution

STEP 1

What is this asking? Out of 40 penguins, 16 were born at the zoo.
We need to figure out what fraction and percentage of the penguins were born there. Watch out! Don't mix up the number of penguins born at the zoo (16) with the total number of penguins (40)!

STEP 2

1. Represent the fraction
2. Simplify the fraction
3. Convert the fraction to a percentage

STEP 3

We're told that 16 out of 40 penguins were born at the zoo.
We can write this as a fraction!
The **total number of penguins** (40) goes on the bottom (denominator) and the **number born at the zoo** (16) goes on the top (numerator).
So we have 1640\frac{16}{40}.

STEP 4

The grid has 4 rows of 10 squares, for a total of 410=404 \cdot 10 = 40 squares.
We need to shade 16 of them to represent the fraction 1640\frac{16}{40}.
Imagine each square represents one of our adorable penguins!

STEP 5

Let's simplify our fraction 1640\frac{16}{40}.
Both 16 and 40 are divisible by **2**, so let's divide both the top and bottom by 2.
Remember, dividing both the numerator and denominator by the same number is like dividing by one, so it doesn't change the value of the fraction!

STEP 6

1640=16÷240÷2=820\frac{16}{40} = \frac{16 \div 2}{40 \div 2} = \frac{8}{20} We get 820\frac{8}{20}.
But wait!
We can simplify further!
Both 8 and 20 are divisible by **4**.
Let's do it!

STEP 7

820=8÷420÷4=25\frac{8}{20} = \frac{8 \div 4}{20 \div 4} = \frac{2}{5} Awesome! Now we have the simplified fraction 25\frac{2}{5}.

STEP 8

To convert a fraction to a percentage, we want to make the denominator 100.
Think of "percent" as "per cent," meaning "out of 100."

STEP 9

We have 25\frac{2}{5}.
To get 100 in the denominator, we need to multiply 5 by **20** since 520=1005 \cdot 20 = 100.
Remember, whatever we do to the bottom, we *must* do to the top!

STEP 10

25=220520=40100\frac{2}{5} = \frac{2 \cdot 20}{5 \cdot 20} = \frac{40}{100} 40100\frac{40}{100} is the same as **40%**!
Woohoo!

STEP 11

40% of the penguins were born at the zoo.
We shaded 1640\frac{16}{40} which simplifies to 25\frac{2}{5} of the grid, which is equivalent to 40%!

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