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

Option B. 1/12 pound

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

`(5)/(6)((1)/(5))=(1)/(6)\ lb`

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

`(5)/(6)-(1)/(6)=(4)/(6)=(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)

`(2)/(3):8=(2)/(24)=(1)/(12)\ lb`

therefore

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