Question

A linens department received the following:

• 19 1/2 dozen of twin sheet sets
• 33 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 sets

b.
917. sheet sets

c.
925. sheet sets

d.
902. sheet sets

e.
930. sheet sets

f.
None of the above.

Answer 1

b.

917 sheet sets.

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.

`\text{Total number of sheet sets received in dozens}=19(1)/(2)+33(2)/(3)+23(1)/(4)`

`\text{Total number of sheet sets received in dozens}=(39)/(2)+(101)/(3)+(93)/(4)`

Make common denominator:

`\text{Total number of sheet sets received in dozens}=(39*6)/(2*6)+(101*4)/(3*4)+(93*3)/(4*3)`

`\text{Total number of sheet sets received in dozens}=(234)/(12)+(404)/(12)+(279)/(12)`

`\text{Total number of sheet sets received in dozens}=(234+404+279)/(12)`

`\text{Total number of sheet sets received in dozens}=(917)/(12)`

To find the number of sheets, we will multiply number of dozens of sheets by 12 as 1 dozen equals 12.

`\text{Total number of sheet sets received}=(917)/(12)* 12`

`\text{Total number of sheet sets received}=917`

Therefore, the total number of sheet sets received is 917.