Question

michelle made a bead necklace that was 14 inches long. the length of the necklace, in inches, is equal to 4 added to one - fifth the number of beads, b.
\\(\frac{1}{5}b + 4 = 14\\)
how many beads did michelle use for her necklace?
a. 50
b. 15
c. 500
d. 25

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( b \), we subtract 4 from both sides of the equation \(\frac{1}{5}b + 4 = 14\).
\(\frac{1}{5}b + 4 - 4 = 14 - 4\)
Simplifying gives \(\frac{1}{5}b = 10\).

Step2: Multiply both sides by 5

To solve for \( b \), we multiply both sides of the equation \(\frac{1}{5}b = 10\) by 5.
\(5\times\frac{1}{5}b = 10\times5\)
Simplifying gives \( b = 50 \).

Answer:

A. 50