Question

A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.

Answer 1

(a)
`x= \frac 2 3/ \frac 1 6`

(b)
`x= \frac 2 3* \frac 6 1`

(c) 4 pounds

Explanation:

Let the capacity of the container is
`x`.

The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.

So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e

`\frac 1 6 * x = \frac 2 3\cdots(i)`

(a) From the equation (i), the required division expression for the capacity of the box, x, is

`x= \frac 2 3/ \frac 1 6`

(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is

`x= \frac 2 3* \frac 6 1\cdots(ii)`

(c) From equation (ii), the capacity of the box is

`x= \frac 2 3* 6= 4` pounds.