Answer :
To solve the problem "One more than three-eighths of a number is eleven," follow these steps:
1. Set up the equation: Let's represent the unknown number as [tex]\( x \)[/tex]. According to the problem, three-eighths of this number plus one equals eleven. This can be written as:
[tex]\[
\frac{3}{8}x + 1 = 11
\][/tex]
2. Isolate the term with [tex]\( x \)[/tex]: To isolate the term with [tex]\( x \)[/tex], first subtract 1 from both sides of the equation:
[tex]\[
\frac{3}{8}x = 11 - 1
\][/tex]
[tex]\[
\frac{3}{8}x = 10
\][/tex]
3. Solve for [tex]\( x \)[/tex]: To solve for [tex]\( x \)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(\frac{3}{8}\)[/tex], which is [tex]\(\frac{8}{3}\)[/tex]:
[tex]\[
x = 10 \times \frac{8}{3}
\][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[
x = \frac{80}{3} = 26.666666666666664
\][/tex]
Therefore, the number is approximately 26.67 when rounded to two decimal places.
1. Set up the equation: Let's represent the unknown number as [tex]\( x \)[/tex]. According to the problem, three-eighths of this number plus one equals eleven. This can be written as:
[tex]\[
\frac{3}{8}x + 1 = 11
\][/tex]
2. Isolate the term with [tex]\( x \)[/tex]: To isolate the term with [tex]\( x \)[/tex], first subtract 1 from both sides of the equation:
[tex]\[
\frac{3}{8}x = 11 - 1
\][/tex]
[tex]\[
\frac{3}{8}x = 10
\][/tex]
3. Solve for [tex]\( x \)[/tex]: To solve for [tex]\( x \)[/tex], multiply both sides of the equation by the reciprocal of [tex]\(\frac{3}{8}\)[/tex], which is [tex]\(\frac{8}{3}\)[/tex]:
[tex]\[
x = 10 \times \frac{8}{3}
\][/tex]
4. Calculate the value of [tex]\( x \)[/tex]:
[tex]\[
x = \frac{80}{3} = 26.666666666666664
\][/tex]
Therefore, the number is approximately 26.67 when rounded to two decimal places.
