177885 − 1660 = 101660, 211-156 = 4+150-125

Question

ScanSolve AI Tutor · Accepted Answer

The image shows a single equation with one unknown variable, $b$ .

The equation is:

177.8875 = \frac{217 - 15b}{1150} + 800b

Multiply every term in the equation by 1150 to eliminate the denominator.
$1150 \times 177.8875 = 1150 \times \left(\frac{217 - 15b}{1150}\right) + 1150 \times 800b$ $204570.625 = 217 - 15b + 920000b$
Combine the terms that contain $b$ .
$204570.625 = 217 + (920000 - 15)b$ $204570.625 = 217 + 919985b$
Isolate the term with $b$ by subtracting 217 from both sides of the equation.
$204570.625 - 217 = 919985b$ $204353.625 = 919985b$
Solve for $b$ by dividing both sides by 919985.
$b = \frac{204353.625}{919985}$ $b \approx 0.222128$
Rounding to five decimal places, the value of $b$ is approximately 0.22213.

The final answer is $b \approx 0.22213$ .

177885 − 1660 = 101660, 211−156 = 4+150−125