Question

A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are there in the hospital?

Answer 1

There are 138 female patients in the hospital.

Solving word problems involving ratios.

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

• If the ratio of male to female is 4: 3.
• The total ratio is 4+3 = 7

The ratio of males in the hospital is:

$\mathbf{184= \dfrac{4}{7} \times x }$

$\mathbf{184\times 7= 4 x }$

x = 322

The number of female patients in the hospital can now be computed as:

$\mathbf{=\dfrac{3}{7}\times 322}$

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

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