Answer:
The number is 296.
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
[tex]\frac{x}{8}+5=42[/tex]. Let's solve the equation to find x.
1. Write the expression.
[tex]\frac{x}{8}+5=42[/tex]
2. Substract 5 from both sides and simplify.
[tex]\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\[/tex]
3. Multiply 8 on both sides and simplify.
[tex]8*\frac{x}{8}=37*8\\\\x=296[/tex]
We have found our number, it's 296!
