few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response, in json format:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Work with equal groups of objects to gain foundations for multiplication.

Solve systems of equations.

Create equations that describe numbers or relationships

Understand solving equations as a process of reasoning and explain the reasoning.

Gain familiarity with factors and multiples.

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

Represent and solve equations and inequalities graphically.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent and solve problems involving multiplication and division.

Understand and apply properties of operations and the relationship between addition and subtraction.

Interpret the structure of expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Analyze patterns and relationships.

Understand properties of multiplication and the relationship between multiplication and division.

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Represent and solve problems involving addition and subtraction.

Represent and analyze quantitative relationships between dependent and independent variables.

Rewrite rational expressions.

Reason about and solve one-variable equations and inequalities.

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Use properties of operations to generate equivalent expressions.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Write expressions in equivalent forms to solve problems.

Work with addition and subtraction equations.

Add and subtract within 20.

Understand the connections between proportional relationships, lines, and linear equations.

Work with radicals and integer exponents.

Generate and analyze patterns.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use the four operations with whole numbers to solve problems.
problem_activity: A new movie is being released and it is expected to be a blockbuster. Use the information below to predict how much money the movie will make in ticket prices over the opening weekend.
The average movie ticket price in the country is $9.
There are approximately
$${4\times10^4}$$
movie screens in the country.
The movie will be playing on 30% of the screens in the country on opening weekend.
For each screen, there is an average of 250 seats, and it is expected that each showing will be sold out.
There are 8 showings per screen over the opening weekend.
Write your answer in scientific notation and standard form.


correct_option_index: 30