Question

A pine tree grows at the rate of 3 5⁄8 inches per month. How much will the tree have grown in 5 1⁄2 months?

Answer 1

Answer: 19 15/6

Step-by-step explanation: Using the concept of direct proportion

If the rate to which a tree grow per month is 3 5/8 then we can say

3 5/8 growth= 1 month

x growth = 5 1/2 month

then cross multiply to get the value of x

x = 3 5/8× 5 1/2

x = 29/8 × 11/2

x = 319/16

x = 19 15/16

Answer 2

Final answer is
`15(5)/(16)` inches.

Explanation:

Given that a pine tree grows at the rate of
`3(5)/(8)` inches per month.

That means growth of tree in 1 month
`=3(5)/(8)`

Then growth of tree in
`5(1)/(2)`

`=3(5)/(8)*5(1)/(2)` inches

`=3*5(5)/(8)*(1)/(2)` inches

`=15(5*1)/(8*2)` inches

`=15(5)/(16)` inches

Hence final answer is
`15(5)/(16)` inches.