Q:

If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?

Accepted Solution

A:
Answer:The original number is 11.3Step-by-step explanation:Let the number is x and then we form the equation to solve it for the value of x.1- Number is multiplied by 2.5 then it becomes = 2.5x2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.753- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]4- Now the final expression is equal to 37.5 so the equation will be [tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5Now we multiply 0.8 in both the sides of the equation[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.82.5x + 1.75 = 302.5x = 30 - 1.75 2.5x = 28.25x = 28.25/2.5 = 11.3