else made enough strawberry jam to fill $5\frac{2}{3}$ jars. if she made 3 times as much apricot jam as strawberry jam, how many jars of jam did she make altogether?

a 22
b $8\frac{2}{3}$
c $22\frac{2}{3}$
d 17

Question

else made enough strawberry jam to fill $5\frac{2}{3}$ jars. if she made 3 times as much apricot jam as strawberry jam, how many jars of jam did she make altogether?

a 22
b $8\frac{2}{3}$
c $22\frac{2}{3}$
d 17

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Arithmetic" ], "new_concepts": [ "Mixed Number Multiplication", "Multi-step Word Problems" ], "current_concepts": [ "Fraction Arithmetic", "Mixed Number Multiplication", "Multi-step Word Problems" ] } ## Set up the total jam equation $$ \begin{aligned} S &= 5\frac{2}{3} \ A &= 3S \ T &= S + A = S + 3S = 4S \end{aligned} $$ ## Convert to improper fraction and multiply $$ \begin{aligned} S &= \frac{17}{3} \ T &= 4 \times \frac{17}{3} = \frac{68}{3} \end{aligned} $$ ## Convert back to a mixed number $$ T = 22\frac{2}{3} $$

(A) 22

(B) $8\frac{2}{3}$

(C) $22\frac{2}{3}$

(D) 17

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Fraction Arithmetic" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the total jam equation

Convert to improper fraction and multiply

Convert back to a mixed number

Answer: