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?

Respuesta :

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

[tex]\frac{1}{12}\text{ pounds }[/tex]

Step-by-step explanation:

Since we have given that

Weight of modelling clay is given by

[tex]\frac{5}{6}\text{ pounds}[/tex]

Part of clay used to make decorative magnets is given by

[tex]\frac{1}{5}[/tex]

Remaining part of clay is given by

[tex]1-\frac{1}{5}=\frac{5-1}{5}=\frac{4}{5}[/tex]

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

Weight of each clay is given by

[tex]\frac{4}{5}\times \frac{5}{6}\times \frac{1}{8}\\\\=\frac{1}{12}\text{ pounds }[/tex]

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

[tex]\frac{1}{12}\text{ pounds }[/tex]


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