Question

What was the cost of full coverage insurance in female in her 50s as a percentage of the same insurance in a male in his 30s if female cost $819.73 and male cost $1192.64

Answer 1

The cost of coverage of 50 year old female is $\boxed{{\mathbf{68}}{\mathbf{.73\% }}}$  of the cost of coverage of 30 year old male.

Further explanation:

Given:

It is given that cost of coverage for a female of 50 years is $\ 819.73$  and cost of coverage for a male of 30 years is $\ 1192.64$ .

Step by step explanation:

Step 1:

Consider ${C_F}$  as the cost of coverage of a female of $50{\text{ years}}$  old and ${C_m}$   as the cost of coverage for a male of 30 years old.

Now we need to find the relative percentage that represents the cost of coverage of 50 year old female with respect to the cost of coverage of 30 year old male.

The relative percentage $X$  can be calculated as,

$X=\frac{{{C_F}}}{{{C_m}}}\times 100\%$                                                                                 ……. (1)

Now substitute the value ${C_F}=\ 819.73$ and ${C_m}=\ 1192.64$  in the equation (1).

$\begin{gathered}X=\frac{{819.73}}{{1192.64}}\times100\%\hfill\\X=68.73\%\hfill\\\end{gathered}$

Therefore, the cost of coverage of 50 year old female is $68.73\%$  of the cost of coverage of 30 year old male.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Comparing quantities

Keywords: cost, coverage, insurance, male, female, percentage, relative percentage, amount, 50 years, 30 years, quantities, comparing, represents.

Answer 2

Answer:

68.73%

Step-by-step explanation:

We have the insurance coverage amount for men of 30 years and for women of 50 years. Therefore, to find the percentage that represents the cost of coverage of the 50-year-old woman based on the cost of coverage of the man, we need to perform the following operation:

$X_W = \frac{C_W}{C_M}*100\%$

Where:

$C_W$: cost of coverage for a woman of 50 years.

$C_M$: coverage cost for a 30-year-old man.

$X_W = \frac{\ 819.73}{\ 1192.64}*100\%$

$X_W = 68.73\%$

Finally $C_W$ represents 68.73% of $C_W$