## Related questions with answers

In 2009, the federal government budget was $3.1 trillion ($3,100,000,000,000). The government was looking to cut costs. a. If it decided to cut 1%, how much money did it cut? b. If the government reduced the budget by 7%, how much money did it cut? c. If the government eliminated $93 billion ($93,000,000,000) from the budget, what percentage did it cut?

Solution

Verified$\text{Total budget $=\$3,100,000,000,000$}$

#### a.

$\begin{align*} \text{Budget cut}&=1\% \ \text{of total} \\ &=\frac{1}{\cancel{100}} \times 3,100,000,000,0\cancel{00} \\ &\color{#c34632}=\$31,000,000,000 \end{align*}$

$\text{Budget cut $=\$31,000,000,000$}$

#### b.

$\begin{align*} \text{Money reduced}&=7\% \ \text{of total} \\ &=\frac{7}{\cancel{100}} \times 3,100,000,000,0\cancel{00} \\ &=7 \times 31,000,000,000 \\ &\color{#c34632}=\$217,000,000,000 \end{align*}$

#### c.

$\begin{align*} \text{Budget eliminated}&=\$93,000,000,000 \\ \text{In} \ \%&=\frac{93,\cancel{000,000,000}}{3,100,\cancel{000,000,000}} \times 100 \\ &=\frac{93}{3,1\cancel{00}} \times \cancel{100} \\ &=\frac{93}{31} \\ &\color{#c34632}=3\% \end{align*}$

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