Question

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 8 equal portions. What is the weight of the clay in each portion?
A. 1/48 pound
B. 1/12 pound
C. 1/8 pound
D. 2/3 pound

Answer 1

Answer:

Option B. 1/12 pound

Step-by-step explanation:

we know that

1) Jan began with 5/6 pound of modeling clay and used 1/5 of the clay

To find out the pounds of modeling clay used multiply 5/6 by 1/5

$\frac{5}{6}(\frac{1}{5})=\frac{1}{6}\ lb$

To find out the pounds of remaining clay subtract 1/6 from 5/6

$\frac{5}{6}-\frac{1}{6}=\frac{4}{6}=\frac{2}{3}\ lb$

2) She divides the remaining clay into 8 equal portions

To find out the weight of each portion divide the pounds of the remaining clay (2/3 lb)  by the number of portions (8)

$\frac{2}{3}:8=\frac{2}{24}=\frac{1}{12}\ lb$

therefore

The weight of the clay in each portion is 1/12 pound