A number was subtracted by 2.6 and that difference was then divided by 0.3 After which the quotient was multiplied by 3. This product was -48. What was the number?
[ (x-2.6)/0.3 ] 3 = -48
(x-2.6)/0.3 = -16
x - 2.6 = -4.8
x = -2.2
Thank you so much. I was confused about this one.
You are welcome.
To find the number, let's go step by step through the given information.
Step 1: Start with the unknown number and subtract 2.6 from it.
Let's assume the unknown number is represented by "x" and the subtraction can be expressed as x - 2.6.
Step 2: Divide the result from step 1 by 0.3.
The division can be expressed as (x - 2.6) / 0.3.
Step 3: Multiply the result from step 2 by 3.
The multiplication can be expressed as 3 * ((x - 2.6) / 0.3).
Now, we are given that the product from step 3 is -48. So we can write the equation as:
3 * ((x - 2.6) / 0.3) = -48.
To find the value of x, we need to solve the equation.
1. Multiply both sides of the equation by 0.3 to eliminate the division:
3 * (x - 2.6) = -48 * 0.3.
Simplifying this:
3x - 7.8 = -14.4.
2. Add 7.8 to both sides of the equation to isolate the variable:
3x = -14.4 + 7.8.
Simplifying this:
3x = -6.6.
3. Divide both sides of the equation by 3 to solve for x:
x = -6.6 / 3.
Simplifying this:
x = -2.2.
So, the number is -2.2.