During a mayoral election, candidate A spent $\$960,000$ on her campaign, and candidate B spent $\$720,000$ on her campaign. What is the ratio of candidate A's campaign spending to candidate B's campaign spending?

Full solution

Q. During a mayoral election, candidate A spent

\$960,000

on her campaign, and candidate B spent

\$720,000

on her campaign. What is the ratio of candidate A's campaign spending to candidate B's campaign spending?

Understand the problem: Understand the problem. $\newline$ We need to find the ratio of the amount spent by candidate $A$ to the amount spent by candidate $B$ .
Write amounts spent: Write down the amounts spent by both candidates. $\newline$ Candidate A spent $\$960,000$ and candidate B spent $\$720,000$ .
Calculate the ratio: Calculate the ratio. $\newline$ The ratio of candidate A's spending to candidate B's spending is found by dividing the amount spent by candidate A by the amount spent by candidate B. $\newline$ Ratio = $\frac{\text{Amount spent by candidate A}}{\text{Amount spent by candidate B}}$ $\newline$ Ratio = $\frac{\$960,000}{\$720,000}$
Simplify the ratio: Simplify the ratio. $\newline$ To simplify the ratio, we can divide both numbers by their greatest common divisor. In this case, we can divide both numbers by $\$240,000$ , which is the greatest common divisor of $\$960,000$ and $\$720,000$ . $\newline$ Ratio = $\left(\frac{\$960,000}{\$240,000}\right) / \left(\frac{\$720,000}{\$240,000}\right)$ $\newline$ Ratio = $\frac{4}{3}$
Write final answer: Write the final answer. $\newline$ The simplified ratio of candidate A's campaign spending to candidate B's campaign spending is $4:3$ .