select all the correct answers.

which two equations can you use to find the adult and child admission fees for a puppet show? let a represent the fee for adults and c represent the fee for children.

| | adults | children | admissions collected |
|---|---|---|---|
| day 1 | 45 | 30 | $315 |
| day 2 | 50 | 40 | $370 |

$45c + 30a = 315$
$45a + 50c = 315$
$45a + 30c = 315$
$50c + 40a = 370$
$50a + 40c = 370$

Question

select all the correct answers.

which two equations can you use to find the adult and child admission fees for a puppet show? let a represent the fee for adults and c represent the fee for children.

| | adults | children | admissions collected |
|---|---|---|---|
| day 1 | 45 | 30 | $315 |
| day 2 | 50 | 40 | $370 |

$45c + 30a = 315$
  $45a + 50c = 315$
  $45a + 30c = 315$
  $50c + 40a = 370$
  $50a + 40c = 370$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Equation Formulation" ], "new_concepts": [ "Systems of Linear Equations" ], "current_concepts": [ "Linear Equations", "Equation Formulation", "Systems of Linear Equations" ] } ## Define variables and table data Using the *Linear Equations* and *Equation Formulation* knowledge points $$ \begin{aligned} &a = \text{fee for adults} \ &c = \text{fee for children} \ &\text{Day 1: } 45 \text{ adults, } 30 \text{ children, } \$315 \text{ collected} \ &\text{Day 2: } 50 \text{ adults, } 40 \text{ children, } \$370 \text{ collected} \end{aligned} $$ ## Formulate the equation for Day 1 Using the *Equation Formulation* knowledge point $$ 45a + 30c = 315 $$ ## Formulate the equation for Day 2 Using the *Equation Formulation* knowledge point $$ 50a + 40c = 370 $$

$45c + 30a = 315$

$45a + 50c = 315$

$45a + 30c = 315$

$50c + 40a = 370$

$50a + 40c = 370$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Define variables and table data

Formulate the equation for Day 1

Formulate the equation for Day 2

Answer: