66.4k views
1 vote
type a is 5 feet tall and grows at a rate of 18 inches per year Type B is 10 feet tall and grows at a rate of 8 inches per year. How many years will it take for these trees to be the same height

User JRomero
by
7.9k points

1 Answer

3 votes

Answer:

The height will be same in 6 years time

Explanation:

Since we do not know the years it would take, we can call this x

Kindly note that 12 inches is 1 feet, so 5 ft would be 60 inches and 10 feet will be 120 inches

Now, the height of tree A after x years would be;

60 + 18x

For tree B, height would be 120 + 8x

Now, we were made to know that they have equal height at the xth year.

Thus;

60 + 18x = 120 + 8x

10x = 120-60

10x = 60

x = 60/10 = 6

User Tim Sparkles
by
7.7k points