Question

Which is the solution to the equation Round to the nearest hundredth if necessary

Answer 1

8.25 + (1/4)w = 10.75
4 * 8.25 + w = 4 * 10.75    ← multiply both sides by 4
33 + w = 43
w = 43 - 33
w = 10

Answer 2

Answer: The value of w = 10

Step-by-step explanation:

Since we have given that

$8.25+\frac{1}{4}w=10.75$

Now, we will solve it :

$8.25+\frac{1}{4}w=10.75\\\\\text{collect the constant terms altogether}\\\\\frac{1}{4}w=10.75-8.25\\\\\frac{1}{4}w=2.5\\\\\text{multiply 4 from both sides}\\\\w=2.5\times 4\\\\w=10.0$

Hence, the value of w = 10.