Question

In 1995, the federal government paid off one-third

of its debt. If the original amount of the debt was
$4.920,000,000,000, which expression represents
the amount that was not paid off?

Answer 1

The expression that represents the amount that was not paid off is
`\text { Debt amount that was not paid off }=\text { original amount of debt }- (1)/(3)\text { of original amount of debt }`

Solution:

Given, In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was $ 4.920,000,000,000

We have to find which expression represents the amount that was not paid off

Now, we know that, amount that is not paid off = total debt – paid amount

`\text { Debt amount that is not paid off }=\text { original amount of debt }-(1)/(3)\text { of original amount of debt }`

`\begin{array}{l}{=\text { original amount of debt }\left(1-(1)/(3)\right)} \\\\ {=\text { original amount of debt } * (3-1)/(3)} \\\\ {=4,920,000,000,000 * (2)/(3)} \\\\ {=1,640,000,000,000 * 2=3,280,000,000,000}\end{array}`

Hence the expression and value of debt amount that is not paid off is found