Ateam of scientist surveying a forest found that there were four oak trees for every 10 pine trees. if they counted 24 more pine trees than oak trees in total, how many oak trees were there in the forest

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be

We know the ratio of Oak to Pine tree is 4:10 or

⇒

Multiplying both side by

⇒

Using distributive property of multiplication, distributing 4 with x and 24.

⇒

Multiplying both side by 10

⇒

subtracting both side by 4x

⇒

dividing both side by 6

⇒

∴

Hence, There are 16 Oak trees in the forest.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: