If there is 4 apple trees for every three pear trees but for every 2 avocado trees there is 5 pear trees she is planning to plant 18 avocado trees whats the ratio of avocado trees to apple trees?

60

Step-by-step explanation:

You need to think of it as an equation system.

First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.

As for every 3 pear trees we have 4 apple trees, it can be written as:

4A = 3P

Then, we can clear the pears dividing both sides by 3:

4A/3 = 3P/3

(4/3)A = P

This is, we have one pear tree for every 4/3 apple trees.

Then we go to the other relation. For every 5 pears trees there are two avocados trees:

2V = 5P

As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:

2V = 5 ((4/3)A)

2V = (20/3) A

Multiplying both sides by 9 we make appear our 18 avocados trees:

2V *9 =( 20/3) A * 9

18 V = 60 A

So, for 18 avocados trees we have 60 apple trees.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: