short response
1. a bakery is having a sale on pumpkin pies. each pie is cut into 8 equal slices. they have $2\frac{1}{4}$ pies left. jim wants to purchase $1\frac{3}{8}$ pies for dinner.
how many pies will be left?
answer:

2. at $0.75 per slice, how much will the pie jim is buying cost?
answer:

3. three people who work part-time are to work together on a project, but their total time on the project is to be equivalent to only one person working full time. if one of the people budgeted $\frac{1}{2}$ of his time for the project and the second person budgeted $\frac{1}{3}$ of her time, what fraction of his time should the third person put into the project?
answer:

4. jack bought 9.6 kg of sugar. he poured the sugar equally into 5 bottles. there was 0.45 kg of sugar left over. what was the weight of sugar in 1 bottle?
answer:

5. if the division of $p$ by 13.6 gives a quotient of 10.2 and remainder 8, find $p$.
answer:

6. bobby pays for his new car in monthly payments for 3 years. if his car costs $20,097.64, and he makes a down payment of $1,000, how much will bobby pay each month?
answer:

Question

short response
1. a bakery is having a sale on pumpkin pies. each pie is cut into 8 equal slices. they have $2\frac{1}{4}$ pies left. jim wants to purchase $1\frac{3}{8}$ pies for dinner.
how many pies will be left?
answer:

2. at $0.75 per slice, how much will the pie jim is buying cost?
answer:

3. three people who work part-time are to work together on a project, but their total time on the project is to be equivalent to only one person working full time. if one of the people budgeted $\frac{1}{2}$ of his time for the project and the second person budgeted $\frac{1}{3}$ of her time, what fraction of his time should the third person put into the project?
answer:

4. jack bought 9.6 kg of sugar. he poured the sugar equally into 5 bottles. there was 0.45 kg of sugar left over. what was the weight of sugar in 1 bottle?
answer:

5. if the division of $p$ by 13.6 gives a quotient of 10.2 and remainder 8, find $p$.
answer:

6. bobby pays for his new car in monthly payments for 3 years. if his car costs $20,097.64, and he makes a down payment of $1,000, how much will bobby pay each month?
answer:

Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fractional Subtraction", "Fractional Budgeting" ], "new_concepts": [ "Division with Decimals", "Division Algorithm with Decimals", "Amortization Word Problems" ], "current_concepts": [ "Fractional Subtraction", "Fractional Budgeting", "Division with Decimals", "Division Algorithm with Decimals", "Amortization Word Problems" ] } ## Solve Question 1 and Question 2 $$ \begin{aligned} &\text{Remaining pies} = 2\frac{1}{4} - 1\frac{3}{8} = \frac{9}{4} - \frac{11}{8} = \frac{18}{8} - \frac{11}{8} = \frac{7}{8}\ &\text{Slices Jim buys} = 1\frac{3}{8} \times 8 = \frac{11}{8} \times 8 = 11\ &\text{Cost} = 11 \times \$0.75 = \$8.25 \end{aligned} $$ ## Solve Question 3 and Question 4 $$ \begin{aligned} &\text{Third person fraction} = 1 - \frac{1}{2} - \frac{1}{3} = 1 - \frac{3}{6} - \frac{2}{6} = \frac{1}{6}\ &\text{Sugar per bottle} = \frac{9.6 - 0.45}{5} = \frac{9.15}{5} = 1.83\text{ kg} \end{aligned} $$ ## Solve Question 5 and Question 6 $$ \begin{aligned} &p = 13.6 \times 10.2 + 8 = 138.72 + 8 = 146.72\ &\text{Monthly payment} = \frac{20097.64 - 1000}{3 \times 12} = \frac{19097.64}{36} = 530.49\text{ dollars} \end{aligned} $$ | No. | Answer | |---|---| | 1 | $\frac{7}{8}$ pie | | 2 | \$8.25 | | 3 | $\frac{1}{6}$ | | 4 | $1.83\text{ kg}$ | | 5 | $146.72$ | | 6 | \$530.49 | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Fractional Budgeting" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve Question 1 and Question 2

Solve Question 3 and Question 4

Solve Question 5 and Question 6

Answer:

No.	Answer
2	\$8.25
3	\(\frac{1}{6}\)
4	\(1.83\text{ kg}\)
5	\(146.72\)
6	\$530.49