Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

At a pond there were 24 ducks swimming. The tape diagram shows the ratio of ducklings to adult ducks.
Adult ducks
Complete the table.

Original ratio
Number in the pond

Ducklings
5
20

Adult ducks
1
4

Total ducks

24

At a pond there were $24$ ducks swimming. The tape diagram shows the ratio of ducklings to adult ducks. $\newline$ Adult ducks $\newline$ Complete the table. $\newline$ \begin{tabular}{lll} $\newline$ & Original ratio & Number in the pond \\ $\newline$ \hline Ducklings & $5$ & $20$ \\ $\newline$ \hline Adult ducks & $1$ & $4$ \\ $\newline$ \hline Total ducks & & $24$ $\newline$ \end{tabular}

View step-by-step help

View step-by-step help

Scale drawings: word problems

Full solution

Q. At a pond there were

24

ducks swimming. The tape diagram shows the ratio of ducklings to adult ducks.

\newline

Adult ducks

\newline

Complete the table.

\newline

\begin{tabular}{lll}

\newline

& Original ratio & Number in the pond \\

\newline

\hline Ducklings &

5

&

20

\\

\newline

\hline Adult ducks &

1

&

4

\\

\newline

\hline Total ducks & &

24

\newline

\end{tabular}

Ratio Calculation: The tape diagram shows the ratio of ducklings to adult ducks is $5$ to $1$ . We need to find out how many adult ducks there are if there are $24$ ducks in total.
Total Parts Calculation: First, let's add up the parts of the ratio: $5$ parts for ducklings $+$ $1$ part for adult ducks $=$ $6$ parts in total.
Ducks per Part Calculation: Now, we divide the total number of ducks by the total number of parts to find out how many ducks each part represents: $24$ ducks $\div$ $6$ parts = $4$ ducks per part.
Adult Ducks Calculation: Since there's $1$ part for adult ducks, we multiply the number of ducks per part by the number of parts for adult ducks: $4$ ducks per part $\times 1$ part $= 4$ adult ducks.

More problems from Scale drawings: word problems

Question

Eric made a scale drawing of the auditorium. The stage, which is \(35\) feet wide in real life, is \(5\) inches wide in the drawing. What is the scale of the drawing? \(1\) inch :

\_\_\_\_\_

Posted 1 month ago

Question

\newline

66

=

\_\_\_\_\_

Posted 1 month ago

Question

Wyatt, a chemist at a chemical supply company, has carefully measured out

100

gallons of a solution containing

14\%

acetone. He also has access to unlimited quantities of a

9\%

acetone solution. How many gallons of the

9\%

acetone solution must Wyatt add to the

14\%

acetone solution to create a solution that contains

10\%

\newline

Write your answer as a whole number or as a decimal rounded to the nearest tenth.

\newline

\newline

\newline

Posted 1 month ago

Question

William recently started running after school. Yesterday, he ran

4.8

41

6

seconds. Today, he ran

4.1

33

4

seconds. What was William's average speed over the two runs?

\newline

Write your answer as a whole number, a decimal, or a simplified fraction or mixed number. Do not round.

\newline

\newline

____ miles per minute

\newline

Posted 1 month ago

Question

\newline

750

=

Posted 1 month ago

Question

\newline

250

=

Posted 1 month ago

Question

An electrolyte solution has an average current density of

1\,\frac{\text{A}}{\text{dm}^2}

\newline

What is the current density of the solution in

\frac{\text{A}}{\text{m}^2}

\newline

\square

\frac{\text{A}}{\text{m}^2}

Posted 1 month ago

Question

The formula for the length of the hypotenuse in a right triangle is

\sqrt{a^{2}+b^{2}}

a

b

are the lengths of the triangle's sides (this formula is derived from the Pythagorean theorem).

\newline

From the side, a certain ramp has a right-triangular shape. Its height is

30

centimeters and its horizontal length is

3

\newline

What calculation will give us the estimated length of the ramp in meters?

\newline

1

\newline

\sqrt{\left(\frac{30^{2}}{100^{2}}\right)+3^{2}}

\newline

\sqrt{30^{2}+3^{2}\cdot 100^{2}}

\newline

\sqrt{30^{2}\cdot 100^{2}+3^{2}}

\newline

\sqrt{30^{2}+\left(\frac{3^{2}}{100^{2}}\right)}

Posted 1 month ago

Question

Roselyn is driving to visit her family, who live

150

kilometers away. Her average speed is

60

kilometers per hour. The car's tank has

20

liters of fuel at the beginning of the drive, and its fuel efficiency is

6

kilometers per liter. Fuel costs

0.60

dollars per liter.

\newline

What is the price for the amount of fuel that Roselyn will use for the entire drive?

\newline

Posted 1 month ago

Question

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is

15 : 1

. He currently has

40

grams of the spice blend, and he can go buy more if necessary. He wants to make

10

servings, where each serving has

75

grams of rice. Overall, David spends

4.50

dollars on rice.

\newline

How many servings can David make with the current amount of spice he has?

\newline

\square

Posted 28 days ago