Question

New York City has 7 fewer than 6 times as many museums as Burlington, Vermont.Write an equation to represent the number of museums Burlington has, b, if New York has 29museums.

Answer 1

Given:

a.) New York City has 7 fewer than 6 times as many museums as Burlington, Vermont.

b.) New York has 29 museums.

Let,

n = the number of museums New Yor City has

b = the number of museums Burlington, Vermont has

New York City has 7 fewer than 6 times as many museums as Burlington, Vermont.

Writing this into an equation, we get:

$\text{ n = 6b - 7}$

Thus, the equation in getting the number of museums Burlington has is:

$\text{ n = 6b - 7}$$\text{ n + 7 = 6b}$$\text{ }\frac{\text{n + 7}}{6}\text{ = }\frac{\text{6b}}{6}$$\text{ }\frac{\text{n + 7}}{6}\text{ = b}$

Therefore, the equation is b = (n + 7)/6