Q:

Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Witch measure is the best estimate for the number of pounds of berries each person would receive.A) 1 1/4 pounds B) 1 5/8 poundsC) 2 7/8 poundsD) 3 3/16 pounds

Accepted Solution

A:
Answer:(b) The number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.Step-by-step explanation:The amount of berries in first basket = 3 3/8 poundsNow, [tex]3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375[/tex]So, the amount of berries in first basket = 3.375 poundsThe amount of berries in second basket = 2 7/8 poundsNow, [tex]2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875[/tex]So, the amount of berries in second basket = 2.875 poundsNow, the total berries = Berries in ( First + Second)  basket                                       = 3.375 pounds +  2.875 pounds                                       = 6.25 poundsSo, the number of pounds each person would have = [tex]\frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = \frac{6.25}{4} = 1.5625[/tex]Now, [tex]1.5625 = 1 + 0.5625  = 1 + \frac{5625}{10000}  = 1 + \frac{5}{8}  = 1\frac{5}{8}[/tex]So, the number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.