Question
Students are selling brownies and chocolate bars for a fundraiser. They sold 22 items and made
.
brownie:
chocolate bar:
brownie:
chocolate bar:
Ask by Crawford Barber. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The students sold 12 brownies and 10 chocolate bars.
Solution
To solve this problem, we can set up a system of equations based on the information provided. Let’s denote the number of brownies sold as
and the number of chocolate bars sold as
.
Given:
- Total number of items sold:
- Total amount of money made:
We can solve this system of equations to find the number of brownies and chocolate bars sold.
Solve the system of equations by following steps:
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Solve the equation:
- step2: Substitute the value of
- step3: Simplify:
- step4: Move the constant to the right side:
- step5: Subtract the numbers:
- step6: Substitute the value of
- step7: Calculate:
- step8: Calculate:
- step9: Check the solution:
- step10: Rewrite:
The solution to the system of equations isand .
Therefore, the students sold 12 brownies and 10 chocolate bars, making a total of
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To solve the fundraiser dilemma, you’ll want to set up a system of equations! If we let
represent the number of brownies and
the number of chocolate bars, we can form the equations:
-
(total items sold) -
(total money made)
Now, if you solve this system, you can find out how many brownies and chocolate bars were sold. It’s a sweet way to see how math relates to real-life fundraising fun!
As for common mistakes when tackling such problems, one of the most frequent is miscounting total items. Double-check that math before jumping into the equations. Students can also forget to keep consistent units or misinterpret the price conversion, leading to s’more confusion. Remember, clarity is key, just like in a scrumptious dessert recipe!