MATH SOLVE

2 months ago

Q:
# A linens department received the following:19 1/2 dozen of twin sheet sets33 2/3 dozen of queen sheet sets 23 1/4 dozen king sheet sets What is the total number of sheet sets received?a. 896. sheet setsb. 917. sheet setsc. 925. sheet setsd. 902. sheet setse. 930. sheet setsf. None of the above.

Accepted Solution

A:

Answer:b. 917 sheet sets.Step-by-step explanation:We are asked to find the total number of sheet sets received by linens department.To find the total number of sheet sets received by linens department, we will add the number of dozens of each sheet.[tex]\text{Total number of sheet sets received in dozens}=19\frac{1}{2}+33\frac{2}{3}+23\frac{1}{4}[/tex][tex]\text{Total number of sheet sets received in dozens}=\frac{39}{2}+\frac{101}{3}+\frac{93}{4}[/tex]Make common denominator:[tex]\text{Total number of sheet sets received in dozens}=\frac{39*6}{2*6}+\frac{101*4}{3*4}+\frac{93*3}{4*3}[/tex][tex]\text{Total number of sheet sets received in dozens}=\frac{234}{12}+\frac{404}{12}+\frac{279}{12}[/tex][tex]\text{Total number of sheet sets received in dozens}=\frac{234+404+279}{12}[/tex][tex]\text{Total number of sheet sets received in dozens}=\frac{917}{12}[/tex]To find the number of sheets, we will multiply number of dozens of sheets by 12 as 1 dozen equals 12.[tex]\text{Total number of sheet sets received}=\frac{917}{12}\times 12[/tex][tex]\text{Total number of sheet sets received}=917[/tex]Therefore, the total number of sheet sets received is 917.