At a community bake sale, Justin earned $1.50c selling cookies, $2.25m selling muffins, and $1.90b selling brownies. He paid $0.30b for the ingredients for the brownies, $0.19c for the cookie ingredients, and $0.59m for the muffin ingredients. Which expression represents his total profit?

Question

Responses
1.8c+2.44m+2.49b

1.2c+2.06m+1.31b

1.69c+2.84m+2.2b

1.31c+1.66m+1.6b

Answer 1

To find Justin's total profit from selling cookies, muffins, and brownies, we need to calculate the profit for each item and then combine them. Profit is calculated as the total sales from that item minus the costs for the ingredients.

1. For cookies:

   • Earnings from cookies: \(1.50c\)
   • Cost of ingredients for cookies: \(0.19c\)
   • Profit from cookies: \(1.50c - 0.19c = 1.31c\)

2. For muffins:

   • Earnings from muffins: \(2.25m\)
   • Cost of ingredients for muffins: \(0.59m\)
   • Profit from muffins: \(2.25m - 0.59m = 1.66m\)

3. For brownies:

   • Earnings from brownies: \(1.90b\)
   • Cost of ingredients for brownies: \(0.30b\)
   • Profit from brownies: \(1.90b - 0.30b = 1.60b\)

Now we can combine the profits from cookies, muffins, and brownies to get the total profit:

\[ \text{Total Profit} = 1.31c + 1.66m + 1.60b \]

Now, let's check the responses to see which one matches our calculation:

1. \(1.8c + 2.44m + 2.49b\) (not a match)
2. \(1.2c + 2.06m + 1.31b\) (not a match)
3. \(1.69c + 2.84m + 2.2b\) (not a match)
4. \(1.31c + 1.66m + 1.6b\) (this matches!)

Therefore, the expression that represents Justin's total profit is:

1.31c + 1.66m + 1.6b