Question

The number of ducks on the pond tripled when the new flock landed. Next 11 more ducks came. The resulting number of ducks was 13 less than 4 times

the original number. How many ducks were there to begin with?
A) 10
B) 15
C) 20
D) 25

Answer 1

The original number of ducks was 24.

Step-by-step explanation:

Let's assume the original number of ducks is x.

The number of ducks tripled, so there are 3x ducks after the new flock landed.

Then, 11 more ducks came, bringing the total to 3x + 11 ducks.

According to the given information, the resulting number of ducks was 13 less than 4 times the original number, so we can write the equation:

3x + 11 = 4x - 13

To solve for x, let's move all the x terms to one side:

3x - 4x = -13 - 11

-x = -24

Finally, divide both sides by -1:

x = 24

Therefore, the original number of ducks was 24.