document.write( "Question 1165330: in 2015 the median age at first marriage of U.S. women (27.1) was what percent less than median age at first marriage of U.S. men (29.2 years) \n" ); document.write( "
Algebra.Com's Answer #853102 by CPhill(2138) You can put this solution on YOUR website! This is a percentage decrease calculation.\r \n" ); document.write( "\n" ); document.write( "The formula for percentage less than (or percentage decrease) is: \n" ); document.write( "$$\text{Percentage Less} = \frac{\text{Reference Value} - \text{Comparison Value}}{\text{Reference Value}} \times 100\%$$\r \n" ); document.write( "\n" ); document.write( "In this case:\r \n" ); document.write( "\n" ); document.write( " * Reference Value (Men's age) $= 29.2$ years \n" ); document.write( " * Comparison Value (Women's age) $= 27.1$ years\r \n" ); document.write( "\n" ); document.write( "$$\text{Percentage Less} = \frac{29.2 - 27.1}{29.2} \times 100\%$$\r \n" ); document.write( "\n" ); document.write( "```python?code_reference&code_event_index=2 \n" ); document.write( "# Given values \n" ); document.write( "men_age = 29.2 \n" ); document.write( "women_age = 27.1\r \n" ); document.write( "\n" ); document.write( "# Calculate the percentage difference \n" ); document.write( "percentage_less = ((men_age - women_age) / men_age) * 100\r \n" ); document.write( "\n" ); document.write( "print(f\"Percentage less: {percentage_less}\")\r \n" ); document.write( "\n" ); document.write( "```\r \n" ); document.write( "\n" ); document.write( "```text?code_stdout&code_event_index=2 \n" ); document.write( "Percentage less: 7.191780821917801\r \n" ); document.write( "\n" ); document.write( "```\r \n" ); document.write( "\n" ); document.write( "The median age at first marriage of U.S. women (27.1 years) was approximately **7.19% less** than the median age for U.S. men (29.2 years) in 2015.\r \n" ); document.write( "\n" ); document.write( "### Calculation Steps:\r \n" ); document.write( "\n" ); document.write( "1. **Find the Difference:** \n" ); document.write( " $$29.2 \text{ years} - 27.1 \text{ years} = 2.1 \text{ years}$$\r \n" ); document.write( "\n" ); document.write( "2. **Calculate the Percentage Decrease (using the men's age as the reference):** \n" ); document.write( " $$\text{Percentage Less} = \frac{\text{Difference}}{\text{Men's Age}} \times 100\%$$ \n" ); document.write( " $$\text{Percentage Less} = \frac{2.1}{29.2} \times 100\%$$ \n" ); document.write( " $$\text{Percentage Less} \approx 0.071917 \times 100\%$$ \n" ); document.write( " $$\mathbf{\approx 7.19\%}$$ \n" ); document.write( " |