To find the number, let's denote the unknown number as [tex]\( x \)[/tex]. According to the problem, the relationship is:
[tex]\[ 6 \times (x + 8) = 53 \][/tex]
Here are the steps to solve for [tex]\( x \)[/tex]:
1. Distribute the 6 on the left side of the equation:
[tex]\[ 6x + 48 = 53 \][/tex]
2. Isolate the term with [tex]\( x \)[/tex] by subtracting 48 from both sides of the equation:
[tex]\[ 6x = 53 - 48 \][/tex]
[tex]\[ 6x = 5 \][/tex]
3. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 6:
[tex]\[ x = \frac{5}{6} \][/tex]
4. Convert the fraction to a decimal:
[tex]\[ x \approx 0.8333333333333334 \][/tex]
Among the given options,
- a. 0.83
- b. 0.50
- c. 1.17
- d. 0.17
The answer that is closest to 0.8333333333333334 is:
[tex]\[ \boxed{a. 0.83} \][/tex]
