# How to solve? for every 8 mango trees in the orchard, there are 4 star apple trees. if there are 1320 trees , how many trees of each kind are there?

answer:

880 mango trees

440 star apple trees

Step-by-step explanation:

The trees are in a ratio of 8:4 or in lowest term, 2:1.

This is a partitive proportion so the total number is distributed to the ratios.

So here is how are you going to solve it:

1. Add the ratios.

2 + 1 = 3

2. Divide it to the total number of trees.

1320 Ã· 3 = 440

3. Multiply the answer to the ratios.

440 Ã— 2 = 880

440 Ã— 1 = 440

To check:

880 + 440 = 1320

1320 = 12xÂ

x =Â 110

880 - mango trees

440 - star apple trees

Given:

ratio of Â mango trees to star apple trees = 8 : 4

total number of trees = 1320

Solution:

Getting the number of trees

mango trees = 8x = 8(110) = 880

star apple trees = 4x = 4(110) = 440

Of 1320 trees there are 880 mango trees and 440 apple trees in the orchard.

The problem looks like hard but its easy. Think of it as ratios. If there are 8 mango trees to 4 star apple trees, then it's ratio is 8:4 or 4:2 or 2:1. Similarly we can use this trick to solve the problem.

8x + 4x = 1320

12x = 1320

x = 1320/12 = 110

x is the number we need for that would satisfy the equation.

8(110) = 880 mango trees

4(110) = 440 star apple trees

Adding it would total to 1320 trees.

There are 880 mango trees and 440 star apple tree

Mango trees represents the 2/3 of 1320 trees

Star-apple tree represents the 1/3 of 1320 trees