Adam worked 8 hours on Monday, 41⁄4 hours on Tuesday, 61⁄8 hours on Wednesday, 71⁄4 hours on Thursday, and 81⁄8 hours on Friday. Calculate the total number of hours Adam worked for the week. A. 323⁄4 B. 331⁄8 C. 333⁄4 D. 35

Respuesta :

C. 33 3/4 
8+4+6+7+8=33
1/4+1/4+2/8=3/4
Final Answer 33 3/4

Answer:

Option C.

Step-by-step explanation:

Adam's working periods in a week are

Monday = 8 hours

Tuesday = 4[tex]\frac{1}{4}=\frac{17}{4}[/tex] hours

Wednesday = [tex]6\frac{1}{8}=\frac{49}{8}[/tex] hours

Thursday = [tex]7\frac{1}{4}[/tex] = [tex]\frac{29}{4}[/tex] hours

Friday = [tex]8\frac{1}{8}=\frac{65}{8}[/tex] hours

Therefore, total working hours = 8 + [tex]\frac{17}{4}+ \frac{49}{8}+ \frac{29}{4}+ \frac{65}{8}[/tex]

= 8+[tex]\frac{(17+29)}{4}+\frac{(49+65)}{8}[/tex]

= 8+[tex]\frac{46}{4}+\frac{114}{8}[/tex]

= 8+[tex]\frac{92+114}{8}[/tex]

= 8+[tex]\frac{206}{8}[/tex]

= [tex]\frac{64+206}{8}[/tex]

= [tex]\frac{270}{8}[/tex]

= [tex]\frac{135}{4}[/tex]

= [tex]33\frac{3}{4}[/tex] hours

Therefore, Option C. is the answer.

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