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A patient with high blood pressure who weighs 220 pounds is put on a diet to lose 22 pounds in three months. The patient loses 10 3/8 pounds the first month and 10 3/8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?

Respuesta :

Given:

1st month:

[tex]10\frac{3}{8}=\frac{83}{8}[/tex]

2nd month:

[tex]10\frac{3}{8}=\frac{83}{8}[/tex]

3rd month is given by:

[tex]22-\frac{83}{8}-\frac{83}{8}[/tex][tex]22\cdot\frac{8}{8}=\frac{176}{8}[/tex]

Since the denominators are equal, we combine the fractions:

[tex]\frac{176}{8}-\frac{83}{8}-\frac{83}{8}=\frac{176-83-83}{8}=\frac{176-166}{8}=\frac{10}{8}[/tex]

Simplify:

[tex]\frac{5}{4}=1\frac{1}{4}[/tex]

Answer:

[tex]\begin{equation*} 1\frac{1}{4} \end{equation*}[/tex]