Question

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 pounds
C) 2 7/8 pounds
D) 3 3/16 pounds

Answer 1

(b) The number of pounds of berries each person would receive is
`1(5)/(8)`pounds.

Explanation:

The amount of berries in first basket = 3 3/8 pounds

Now,
`3(3)/(8)  = 3+(3)/(8) = 3 + 0.375 = 3.375`

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now,
`2(7)/(8)  = 2+(7)/(8) = 2 + 0.875 = 2.875`

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second) basket

= 3.375 pounds + 2.875 pounds

= 6.25 pounds

So, the number of pounds each person would have =
`\frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = (6.25)/(4) = 1.5625`

Now,
`1.5625 = 1 + 0.5625  = 1 + (5625)/(10000)  = 1 + (5)/(8)  = 1(5)/(8)`

So, the number of pounds of berries each person would receive is
`1(5)/(8)`pounds.