Reginald spent $2.86 on 4(2)/(5) pounds of bananas. What is the cost of one pound of bananas? Responses A $0.65$0.65 B $0.67$0.67 C $1.47$1.47 D $1.54

We have $\frac{4}{5}$ pounds of bananas, so we multiply the cost per pound by $\frac45$ to get the total cost. If the cost per pound is $x,$ then $x\cdot\frac45=\frac{14}{20}\cdot x=\frac{14}{20}\cdot 2.86=2.002,$ which is about $2.$ To get from $2.002$ to $2.86$ we multiply by a bit more than $\frac{2.86}{2.002}\approx 1.429$ However, we don't need to be very accurate, so we can round up to $\boxed{\textbf{(B) }0.67}.$

which option is it?

Apologies for the confusion. The correct option is $\boxed{\textbf{(A)} \ 0.65}$.

To find the cost of one pound of bananas, we need to divide the total cost by the number of pounds of bananas.

First, let's convert the mixed number, 4(2)/(5), to an improper fraction.

Multiply the whole number, 4, by the denominator, 5:

4 * 5 = 20

Add the numerator, 2, to the product:

20 + 2 = 22

Now, write the sum as the numerator and keep the denominator:

22/(5)

Next, divide the total cost, $2.86, by the fraction 22/(5):

$2.86 ÷ 22/(5)

To divide by a fraction, we can multiply by its reciprocal (flip the fraction):

$2.86 × (5/22)

Multiply the numerators and the denominators:

(2.86 * 5) / 22

Calculate the multiplication:

14.3 / 22

Now, divide the numerator by the denominator:

14.3 ÷ 22 = 0.65

Therefore, the cost of one pound of bananas is $0.65.

So, the answer is A) $0.65.