Ann bought five different kinds of fruit: apples, oranges, pears

oranges = r
apples = 2r
pear = a+r = 3r

Ratio to be found = 3r /(r+2r+3r+M+B) = 3r /(6r+M+B) ??

(1) 3r/18. r is unknown. Insufficient

(2) B =5, So 3r /(6r+M+5) cannot be calculated. Insufficient

(1)+(2), 6r+M+5 = 18;
6r + M = 13. still the ratio is terms of 'r' and 'M' which cannot be calculated. Insufficient

E is correct.

To determine the fraction of the total number of pieces of fruit that Ann bought were pears, let's analyze the given information.

Let's assign variables to represent the quantities of each fruit that Ann bought:
Let A represent the number of apples.
Let O represent the number of oranges.
Let P represent the number of pears.
Let M represent the number of mangoes.
Let B represent the number of bananas.

We are given the following information:

The number of apples that Ann bought was twice the number of oranges:
A = 2O

The number of pears that Ann bought was the same as the number of apples and oranges combined:
P = A + O

Now, let's analyze each statement:

Statement (1) states that Ann bought a total of 18 pieces of fruit.
This gives us the equation: A + O + P + M + B = 18

Statement (2) states that Ann bought 5 bananas.
This gives us the equation: B = 5

Now, let's solve the problem step by step using these statements:

From the given information, we have:
A = 2O (equation 1)
P = A + O (equation 2)
B = 5 (equation 3)

To determine the fraction of the total number of pieces of fruit that Ann bought were pears, we need to find the value of P in terms of the total number of fruit pieces.

Substituting equation 1 into equation 2:
P = (2O) + O
P = 3O

Substituting equation 3 into the equation from Statement (1):
A + O + P + M + 5 = 18

Substituting A = 2O and P = 3O:
2O + O + 3O + M + 5 = 18
6O + M + 5 = 18
6O + M = 13

Now, we have two equations:
P = 3O (equation 4)
6O + M = 13 (equation 5)

Since we have two equations and three unknowns (O, P, and M), we cannot determine the exact values of O, P, and M. Therefore, we cannot determine the fraction of the total number of pieces of fruit that Ann bought were pears.

Hence, the answer is that we cannot determine the fraction based on the given information in statements (1) and (2).