Question
The seventh-grade class at Prairie Junior High had a bake sale to raise money for a local charity. They sold cookies for $1.25 and brownies for $2.15. Part A If the students sold 25 cookies and 19 brownies, how much money did they raise? 햠 $31.25 햡 $40.85 햢 $72.10 햣 $77.50 Part B After two hours, the students decreased the price of the cookies by $0.10 and decreased the price of the brownies by another amount. The students sold an additional 17 cookies and 12 brownies to earn $42.95. By how many dollars did the students decrease the price of the brownies? Enter your answer in the box.
Answers
GPT-4o mini
To solve this problem, we need to calculate the total money raised from the bake sale in two parts: Part A and Part B.
**Part A:**
1. Calculate the money raised from cookies:
- Number of cookies sold = 25
- Price per cookie = $1.25
- Total from cookies = 25 cookies * $1.25/cookie = $31.25
2. Calculate the money raised from brownies:
- Number of brownies sold = 19
- Price per brownie = $2.15
- Total from brownies = 19 brownies * $2.15/brownie = $40.85
3. Total money raised:
- Total = Total from cookies + Total from brownies
- Total = $31.25 + $40.85 = $72.10
So, the answer for Part A is **$72.10**.
**Part B:**
1. The new price of cookies after the decrease:
- New price of cookies = Original price - Decrease
- New price of cookies = $1.25 - $0.10 = $1.15
2. Let the decrease in the price of brownies be \( x \). Thus, the new price of brownies will be \( 2.15 - x \).
3. Calculate the total amount raised from the additional sales:
- Number of cookies sold = 17
- New price per cookie = $1.15
- Total from additional cookies = 17 * $1.15 = $19.55
- Number of brownies sold = 12
- New price per brownie = \( 2.15 - x \)
- Total from additional brownies = 12 * (2.15 - x)
4. We know that the total amount raised from these additional sales is $42.95, so we set up the equation:
- Total from cookies + Total from brownies = $42.95
- $19.55 + 12 * (2.15 - x) = $42.95
5. Now we will simplify and solve for \( x \):
- 12 * (2.15 - x) = $42.95 - $19.55
- 12 * (2.15 - x) = $23.40
- Now divide both sides by 12:
- 2.15 - x = 23.40 / 12
- 2.15 - x = 1.95
- Rearranging gives:
- -x = 1.95 - 2.15
- -x = -0.20
- x = $0.20
So, the price of the brownies was decreased by **$0.20**.
**Part A:**
1. Calculate the money raised from cookies:
- Number of cookies sold = 25
- Price per cookie = $1.25
- Total from cookies = 25 cookies * $1.25/cookie = $31.25
2. Calculate the money raised from brownies:
- Number of brownies sold = 19
- Price per brownie = $2.15
- Total from brownies = 19 brownies * $2.15/brownie = $40.85
3. Total money raised:
- Total = Total from cookies + Total from brownies
- Total = $31.25 + $40.85 = $72.10
So, the answer for Part A is **$72.10**.
**Part B:**
1. The new price of cookies after the decrease:
- New price of cookies = Original price - Decrease
- New price of cookies = $1.25 - $0.10 = $1.15
2. Let the decrease in the price of brownies be \( x \). Thus, the new price of brownies will be \( 2.15 - x \).
3. Calculate the total amount raised from the additional sales:
- Number of cookies sold = 17
- New price per cookie = $1.15
- Total from additional cookies = 17 * $1.15 = $19.55
- Number of brownies sold = 12
- New price per brownie = \( 2.15 - x \)
- Total from additional brownies = 12 * (2.15 - x)
4. We know that the total amount raised from these additional sales is $42.95, so we set up the equation:
- Total from cookies + Total from brownies = $42.95
- $19.55 + 12 * (2.15 - x) = $42.95
5. Now we will simplify and solve for \( x \):
- 12 * (2.15 - x) = $42.95 - $19.55
- 12 * (2.15 - x) = $23.40
- Now divide both sides by 12:
- 2.15 - x = 23.40 / 12
- 2.15 - x = 1.95
- Rearranging gives:
- -x = 1.95 - 2.15
- -x = -0.20
- x = $0.20
So, the price of the brownies was decreased by **$0.20**.