Question

antrims population is 4 times concords population and twice Benningtons population.if the total population of the 3 towns is 140,000 people, what is Bennington's population ?

Answer 1

We know that:

Antrim's Population = 4 × Concord's Population

Antrim's Population = 2 × Bennington's Population

Antrim's Population + Concord's Population + Bennington's Population = 140,000

Let Antrim's Population be x, Bennington's be y, and Concord's be z. Substituting the values in the above equations, we get:

x + y + z = 140,000

We know x = 4 × z and x = 2 × y

Substituting values of y and z in terms of x

x + $\frac{x}{4}$ + $\frac{x}{2}$ = 140,000

⇒ $\frac{7}{4}$ × x = 140,000

⇒ x = 80,000

and y = 80,000 ÷ 2 = 40,000 and z = 80,000 ÷ 4 = 20,000

Hence, Benington's population is y = 40,000