Question

amy is making bracelets. each bracelet needs $6\frac{1}{4}$ inches of string and she has 75 inches of string. use the guess, check, and revise strategy to solve the equation $6\frac{1}{4}b = 75$ to find $b$, the number of bracelets amy can make.
__ bracelets

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \(6\frac{1}{4}\) to an improper fraction. \(6\frac{1}{4}=\frac{6\times4 + 1}{4}=\frac{25}{4}\). So the equation becomes \(\frac{25}{4}b = 75\). But we'll use guess - check - revise. Let's start guessing.

Step2: First guess

Guess \(b = 10\). Then calculate \(\frac{25}{4}\times10=\frac{250}{4} = 62.5\). Since \(62.5<75\), we need a larger \(b\).

Step3: Second guess

Guess \(b = 12\). Calculate \(\frac{25}{4}\times12=\frac{25\times12}{4}=25\times3 = 75\). Hey, that works!

Answer:

12