7.) 50% as great as 70 is 25% of what number?

8.) what number increased of 35% of itself equals 129.6?

9.) 135 diminished by what part equals 28?

10.) 160 is 20% less than what number?

11.) the price of a laptop computer dropped from $p24,000$ to $p20,000$. what was the percent decrease?

12.) health insurance covered 65% of the cost of virgilios operations. he paid the remainder, which came to $p87,500$. find the total cost of the operation.

Question

7.) 50% as great as 70 is 25% of what number?

8.) what number increased of 35% of itself equals 129.6?

9.) 135 diminished by what part equals 28?

10.) 160 is 20% less than what number?

11.) the price of a laptop computer dropped from $p24,000$ to $p20,000$. what was the percent decrease?

12.) health insurance covered 65% of the cost of virgilios operations. he paid the remainder, which came to $p87,500$. find the total cost of the operation.

Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Percentage Calculations", "Percent Increase and Decrease", "Fractional Parts" ], "new_concepts": [], "current_concepts": [ "Percentage Calculations", "Percent Increase and Decrease", "Fractional Parts" ] } ## Solve questions 7 to 9 $$ \begin{aligned} &\text{Q7: } 0.50 \times 70 = 0.25 \times x \implies 35 = 0.25x \implies x = 140\ &\text{Q8: } x + 0.35x = 129.6 \implies 1.35x = 129.6 \implies x = 96\ &\text{Q9: } 135 \times (1 - y) = 28 \implies 1 - y = \frac{28}{135} \implies y = \frac{107}{135} \end{aligned} $$ ## Solve questions 10 to 12 $$ \begin{aligned} &\text{Q10: } 160 = (1 - 0.20) \times x \implies 160 = 0.80x \implies x = 200\ &\text{Q11: } \text{Decrease} = \frac{24000 - 20000}{24000} = \frac{4000}{24000} = \frac{1}{6} \approx 16.67\%\ &\text{Q12: } (1 - 0.65) \times \text{Total} = 87500 \implies 0.35 \times \text{Total} = 87500 \implies \text{Total} = 250000 \end{aligned} $$ | No. | Answer | |---|---| | 7 | $140$ | | 8 | $96$ | | 9 | $\frac{107}{135}$ | | 10 | $200$ | | 11 | $16.67\%$ (or $16\frac{2}{3}\%$) | | 12 | $\text{P}250,000$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Percentage Calculations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve questions 7 to 9

Solve questions 10 to 12

Answer:

No.	Answer
8	\(96\)
9	\(\frac{107}{135}\)
10	\(200\)
11	\(16.67\%\) (or \(16\frac{2}{3}\%\))
12	\(\text{P}250,000\)