Question

Marcus and Lara each have the same number of songs on their ipods. Marcus has 10x + 8 songs and Lara has

15x - 92 songs. What is x?

Answer 1

The value of x is 20.

Explanation:

Given that

Number of songs Marcus has = 10x+8

Number of songs Lara has = 15x-92

It is also given that they have the same number of songs that means both the expressions should be equal.

Putting both equal

`10x+8 = 15x-92`

This is a linear equation in one variable which can be solved using properties of equality

Subtracting 10 from both sides

`10x+8-10x = 15x-92-10x\\8 = 5x-92`

Adding 92 on both sides

`8+92 = 5x-92+92\\100 = 5x`

Dividing both sides by 5

`(5x)/(5) = (100)/(5)\\x = 20`

Hence,

The value of x is 20.