She added 4, multiplied the sum by -5, and subtracted 12. She then doubled the result and got -34. What number did Christa started with?
work backwards.
first we start with -34.
from the second statement, it was said that she doubled it, but since we're working backwards, we divide -34 by 2:
-34 / 2 = -17
then subtracted by 12,, thus we add 12 by -17 :
-17 + 12 = -5
multiplied by -5,, thus we divide by -5:
-5 / -5 = 1
finally, she added 4,, thus we subtract by 4:
1 - 4 = -3
thus the number is -3
hope this helps~ :)
Multiplyed by 4 then 7 added after subtracting 3 the result is 8 what is the number
Let's use variables to represent the unknown number that Christa started with.
Step 1: Let's assume the unknown number that Christa started with as "x".
At this point, Christa added 4 to "x".
After this operation, we have: x + 4
Step 2: Then, she multiplied the sum by -5.
So, (-5) * (x + 4)
Step 3: Next, Christa subtracted 12 from the previous result.
The expression becomes: (-5) * (x + 4) - 12
Step 4: After that, she doubled the result and got -34.
The equation can be written as 2 * [(-5) * (x + 4) - 12] = -34
Step 5: Now, let's solve the equation step-by-step.
2 * [(-5) * (x + 4) - 12] = -34
Simplifying the expression inside the brackets:
2 * [-5x - 20 - 12] = -34
Multiplying 2 with the expression inside:
-10x - 40 - 24 = -34
Combining like terms:
-10x - 64 = -34
Adding 64 to both sides:
-10x = 30
Dividing both sides by -10:
x = -3
Therefore, Christa started with the number -3.
Let's break down the operations that Christa performed step by step.
1. Christa began with a certain number, let's call it "x".
2. She added 4 to this number, so the sum is now "x + 4".
3. Then she multiplied this sum by -5, which gives us "-5(x + 4)".
4. After that, she subtracted 12 from the previous result, resulting in "-5(x + 4) - 12".
5. She then doubled the final value, giving us the equation "2(-5(x + 4) - 12)".
6. According to the question, the final result of this equation is -34, so we have the equation "2(-5(x + 4) - 12) = -34".
Now, let's solve the equation to find the initial value of "x".
1. Distribute the 2 to both terms inside the parentheses: "-10(x + 4) - 24 = -34".
2. Simplify: "-10x - 40 - 24 = -34".
3. Combine like terms: "-10x - 64 = -34".
4. Add 64 to both sides: "-10x = 30".
5. Divide by -10: "x = -3".
Therefore, Christa started with the number -3.