Question

There are 19 birds in a pond, all which are ducks or geese.If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?

Answer 1

Answer: there are 3 geese in the pond.

Step-by-step explanation:

Let x represent the number of ducks in the pond.

Let y represent the number of geese in the pond.

There are 19 birds in a pond, all which are ducks or geese. This means that

x + y = 19 - - - - - - - - - - - - - - -1

If the number of ducks in the pond is 1 more than twice the number of geese in the pond, it means that

x = 2y + 1

Substituting x = 2y + 1 into equation 1, it becomes

2y + 1 + y = 19

3y = 19 - 1 = 18

y = 18/3 = 6

x = 2y + 1 = 2 × 6 + 1

x = 13