Jan began with 5/6 pound of modeling clay and used 1/5 of the clay to make decorative magnets. She divides the remaining clay into eight equal portions. What is the weight of the clay in each portion?

Verified Answer :

Answer: Weight of the clay in each portion is given by

\(\frac{1}{12}\text{ pounds }\)

Step-by-step explanation:

Since we have given that

Weight of modelling clay is given by

\(\frac{5}{6}\text{ pounds}\)

Part of clay used to make decorative magnets is given by

\(\frac{1}{5}\)

Remaining part of clay is given by

\(1-\frac{1}{5}=\frac{5-1}{5}=\frac{4}{5}\)

So, Remaining part of clay is divided into 8 equal parts so,

Weight of each clay is given by

\(\frac{4}{5}\times \frac{5}{6}\times \frac{1}{8}\\\\=\frac{1}{12}\text{ pounds }\)

So, weight of the clay in each portion is given by

\(\frac{1}{12}\text{ pounds }\)