David has three bags of groceries weighing a total of 25 1/2 pounds. two of the bags weight 7 5/8 pounds and 4 3/4 pounds. how much does the third bag weigh?

Respuesta :

So, we need to add 7 5/8 and 4 3/4 together.

7 5/8 + 4 3/4 = 12 3/8. (If you want to know how I added that, comment below )

So, now we need to subtract 25 1/2 - 12 3/8.

25 1/2 - 12 3/8 = 13 1/8 ( If you want to know how I subtracted comment below)

13 1/8 is your answer

Glad I could help, and good luck!

Answer:

Weight of the third bag = 13[tex]\frac{1}{8}[/tex]  pounds

Step-by-step explanation:

If the two bags weigh 7 5/8 pounds   and  4 3/4 ponds, to get the weight of the third bag, we will simply add this weight together, then subtract from th total weight which is 25 1/2.

That is;

7 5/8 + 4 3/4

7 5/8 = [tex]\frac{61 }{8}[/tex]

4 3/4 = [tex]\frac{19}{4}[/tex]

7 5/8 + 4 3/4  =  [tex]\frac{61 }{8}[/tex]   +   [tex]\frac{19}{4}[/tex]  =  [tex]\frac{61 + 38}{8}[/tex]   = [tex]\frac{99}{8}[/tex]

Weight of the third bag = 25 1/2   -   [tex]\frac{99}{8}[/tex]    

                                      =[tex]\frac{51}{2}[/tex]  -   [tex]\frac{99}{8}[/tex]

                                     =   [tex]\frac{204 -99}{8} = \frac{105}{8}[/tex]

                                     =13[tex]\frac{1}{8}[/tex]

Weight of the third bag = 13[tex]\frac{1}{8}[/tex] pounds