On Thursday, he locates and tags some lions. I

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the

region.

He notices that the number of lions that he had caught on Thursday, was a

fifth of the total number of lions.

How many lions live in the region?

The** total number** of lines is **70.**

We have given that,

A** scientist wants** to estimate **the number** of lions living in a **region.**

On Thursday, he locates and tags some lions.

On Friday he returns and locates 10 less lions than he had on Thursday.

He **notices** that 4 of the lions **are tagged**

The scientist works out** an estimate** for the total number of lions living in** the region.**

we have to **determine** the no of lines in **the length.**

on Thursday no.of lines=**x**

on friday=(x-10)=**4**

x-10=**4**

add **like terms**

### What is the like terms?

**Like terms** are terms **whose variables **and their **exponents** such as the 2 in x^2 are **the same**.

x=10+4

x=14

No.of **total lions** =5th of (no. of tagged on Thursday.)

=5(14)

**=70**

Therefore the** total** number of** lines is 70.**

To learn more about **the word problem** visit:

https://brainacademy.pro/question/13818690#SPJ3

The

numberof thelionsthat live in theregioninvestigated by the consideredscientistis 80.## How to form mathematical expression from the given description?

You can represent the

unknown amountsby the use ofvariables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you canadd4 in that item toincreaseit by 4. If something is for example,doubled, then you canmultiplythat thing by 2 and so on methods can be used to convert description tomathematical expressions.For this case, we're specified that:

Thursdayfriday, he locates 10 less lions than he had on Friday.tagged.lionscaught on thursday was afifthof the total number of lions.Let we take:

x = number of lions the

scientistlocated andtaggedonthursday.Then, we get:

x - 10 = number of

lionsthe scientist located (and assumingly found that they're tagged) onfriday,4 = number of lions he found tagged on

friday.That means, x -10 is same number as 4

or, we get:

That means, on

thursday, the scientist located andtagged14 lions.Now, suppose that the

regionhad 'y' number oflions,Then, as per the data in the question,

one-fifth of y = number of

lionslocated byscientistonthursdayor, we get:

Thus, the

numberoflionsthat live in theregionconsidered is 80Learn more about

forming equationshere:https://brainacademy.pro/question/11938672

#SPJ1