in one town last year year there was a ratio of 1 recreational vehicle to every 2 trucks. This year there are the same number of trucks but 200 more recreational vehicles, and the ratio is now 1 to 1. How many trucks are there this year?
Let's say there were originally 2x trucks and x recreational vehicles in the town last year.
According to the given information, the ratio of RVs to trucks last year was 1:2, therefore:
x / 2x = 1/2
x = 2x / 2
x = x
This means that there were an equal number of trucks and RVs in the town last year.
This year, the number of trucks is still 2x, but the number of RVs increased by 200, so the total number of RVs is now x + 200.
Now the ratio of RVs to trucks is 1:1, therefore:
(x + 200) / 2x = 1/1
x + 200 = 2x
200 = x
So there were 200 RVs and 400 trucks in the town last year.