0.05x+0.12(x+5000)=940 the answer is 2000 but how do you get it? don't you have to multiply by 100?
yes, I would multiply by 100 to get rid of my decimals
(you don't HAVE to)
5x + 12(x+5000) = 94000
5x + 15x + 60000=94000
17x = 34000
x = 2000
or
.05x + .12x + 600 = 940
.17x = 340
x = 340/.17 = 2000
To solve the equation, let's break it down step-by-step:
1. Start by simplifying the equation:
0.05x + 0.12(x + 5000) = 940
2. Distribute the 0.12 term inside the parentheses:
0.05x + 0.12x + 0.12(5000) = 940
3. Simplify the expression in parentheses:
0.05x + 0.12x + 600 = 940
4. Combine like terms:
0.05x + 0.12x + 600 = 940
(0.05x + 0.12x) + 600 = 940
0.17x + 600 = 940
5. Subtract 600 from both sides of the equation to isolate the variable:
0.17x + 600 - 600 = 940 - 600
0.17x = 340
6. Divide both sides of the equation by 0.17 to solve for x:
(0.17x) / 0.17 = 340 / 0.17
x = 2000
So the value of x that satisfies the equation is 2000.
To solve the equation 0.05x + 0.12(x + 5000) = 940, you don't necessarily need to multiply by 100. Here's how you can solve it step by step:
1) Distribute the 0.12 to the terms inside the parentheses:
0.05x + 0.12x + 0.12(5000) = 940
2) Simplify the equation:
0.05x + 0.12x + 600 = 940
3) Combine the x terms:
0.05x + 0.12x = 940 - 600
0.17x = 340
4) Divide both sides of the equation by 0.17 to isolate x:
x = 340 / 0.17
x = 2000
Therefore, the value of x that satisfies the equation is 2000. There is no need to multiply by 100 in this case.