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Ryan spends 10 1/2 hours at work each day. He has 3/4 hour lunch and receives two 1/4 breaks. How much time does Ryan spend working? Remember you can write a equivalent fraction for 10 1/2.

Respuesta :

calculista

Answer:

[tex]9\frac{1}{4}\ hours[/tex]

Step-by-step explanation:

Let

h-----> the time that Ryan spend working

Remember that

[tex]10\frac{1}{2}\ h=\frac{10*2+1}{2}=\frac{21}{2}\ h[/tex]

we know that

The equation that represent the situation is

[tex]\frac{21}{2}=h+\frac{3}{4}+2(\frac{1}{4})[/tex]

[tex]\frac{21}{2}=h+\frac{3}{4}+\frac{2}{4}[/tex]

[tex]\frac{21}{2}=h+\frac{5}{4}[/tex]

[tex]h=\frac{21}{2}-\frac{5}{4}[/tex]

[tex]h=\frac{37}{4}=9.25\ hours[/tex]

Convert to a mixed number

[tex]h=9\frac{1}{4}\ hours[/tex]