Question

6. Maria works for an International marketing consulting group. She is studying the monthlydemand for Range Rovers (SUV) in two different cities of the country. She has 190,000 newRange Rovers to ship to the two cities, and she decides to ship 30,000 more to New York Citythan to Boston. Find the number of (SUV) to be shipped to New York City.

Answer 1

Let's use the variable x to represent the number of Range Rovers sent to New York and y to represent the number of Range Rovers sent to Boston.

Since the total is 190,000, we have:

$x+y=190000$

Then, the amount sent to New York is 30,000 more than the amount sent to Boston, so we can write our second equation:

$\begin{gathered} x=y+30000 \\ y=x-30000 \end{gathered}$

Using this value of y in the first equation, we have:

$\begin{gathered} x+(x-30000)=190000 \\ 2x-30000=190000 \\ 2x=220000 \\ x=110000 \end{gathered}$

Therefore the number of Range Rovers sent to New York is 110,000.