Question

One number was divided by 2, followed by this quotient being multiplied by 4. next, the product was added to 9. the total sum was 25, so what was the first divisor?

please show work and answer

Answer 1

Explanation:

First, turn the word problem into an equation:

n(a number) was divided by 2

`(n)/(2)`

followed by this quotient beying multiplied by 4

`(n)/(2)`*4

the product was added to 9

`(n)/(2)`*4+9

the total sum was 25

`(n)/(2)`*4+9 = 25

use PEMDAS to solve the equation

subtract 9 on both sides

`(n)/(2)`*4 = 16

cancel the 2 and the 4 using factorization

n*2 = 16

divide 2 on both sides

n = 8