Question

Last year, an organization spent $500 on food for an event 100 people attended.

This year, they plan for 120 people to attend the event. Food costs the same per
person as it did last year. From last year to this year, what is the percent change in
the money the organization spends on food? Show your work.

Answer 1

Answer: 5$ per person, and for the entire thing it costs 600$. The percent of change is 20%.

Step-by-step explanation: Because it costs 5 dollars each because $500 divided by 100 equals $5. this year it costs $600 because there is a gain of 20 people. The percent of change is 20% increase because 100 -> 120 is already simple and 20/100 is 20% so there is a 20% increase. P.S im sorry if its not very formal

Answer 2

`\sf \textsf{Percent Change} = 20\%`

Explanation:

To find the percent change in the money the organization spends on food from last year to this year, we can use the following formula:

`\sf \boxed{\boxed{ \textsf{Percent Change} = \left( \frac{\textsf{New Value} - \textsf{Old Value}}{\textsf{Old Value}} \right) * 100\%}}`

Let's define the terms:

• Old Value: The money spent on food last year.
• New Value: The money spent on food this year.

Last year, the organization spent 500 on food for 100 people, so the cost per person was 500/100 = 5/person.

This year, they plan for 120 people to attend, so the new value (money spent this year) is:

`\sf 120 * \$5 = \$600`.

Now, substitute these values into the formula:

`\begin{aligned} \textsf{Percent Change} & = \left( (600 - 500)/(500) \right) * 100 \% \\\\ & = \left( (100)/(500) \right) * 100\% \\\\ & = 0.2 * 100\% \\\\ & = 20\% \end{aligned}`

So, the percent change in the money the organization spends on food from last year to this year is
`\sf 20\%`.