Question

cool down
lesson 7: revisit percentages
cool down: fundraising for the animal shelter
noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.

1. write an equation to represent the situation.
2. what is noahs fundraising goal? show or explain how you found it.

Explanation:

Sub - question 1

Step 1: Define the variable

Let \( g \) represent Noah's fundraising goal (in dollars).

Step 2: Translate the percentage relationship into an equation

We know that 60% of the goal \( g \) is equal to the amount raised, which is $54. To write 60% as a decimal, we divide 60 by 100, so 60% = 0.6. The equation is \( 0.6g = 54 \).

Step 1: Start with the equation from part 1

We have the equation \( 0.6g = 54 \).

Step 2: Solve for \( g \)

To solve for \( g \), we divide both sides of the equation by 0.6. So \( g=\frac{54}{0.6} \).

Step 3: Calculate the value of \( g \)

\( \frac{54}{0.6}=90 \). We can also think of it in terms of fractions: 60% is \( \frac{3}{5} \), so if \( \frac{3}{5}g = 54 \), then \( g = 54\div\frac{3}{5}=54\times\frac{5}{3}=90 \).

Answer:

\( 0.6g = 54 \) (where \( g \) is Noah's fundraising goal in dollars)

Sub - question 2