Introduction:
The elasticity of demand measures the responsiveness of quantity demanded to a change in price. It helps us understand how sensitive consumers are to changes in price. In this case, we are given a demand curve equation and a specific price. We can use this information to calculate the elasticity of demand.

Given Information:
Demand curve (p) = 10 - 3p
Price (p) = 5/3

Calculating Quantity Demanded:
To calculate the quantity demanded at the given price, we substitute the price into the demand curve equation and solve for quantity.
p = 5/3
10 - 3p = 10 - 3(5/3) = 10 - 5 = 5
So, at a price of 5/3, the quantity demanded is 5.

Calculating Elasticity of Demand:
To calculate the elasticity of demand, we use the following formula:
Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Calculating % Change in Quantity Demanded:
To calculate the percentage change in quantity demanded, we use the following formula:
% Change in Quantity Demanded = [(New Quantity Demanded - Old Quantity Demanded) / Old Quantity Demanded] * 100

Let's assume the new price is p1 and the new quantity demanded is q1.
Old Quantity Demanded = 5
New Quantity Demanded (q1) = 10 - 3p1

% Change in Quantity Demanded = [(q1 - 5) / 5] * 100

Calculating % Change in Price:
To calculate the percentage change in price, we use the following formula:
% Change in Price = [(New Price - Old Price) / Old Price] * 100

Old Price = 5/3
New Price (p1) = p1

% Change in Price = [(p1 - (5/3)) / (5/3)] * 100

Calculating Elasticity of Demand:
Now that we have the % change in quantity demanded and the % change in price, we can calculate the elasticity of demand using the formula mentioned earlier.
Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Elasticity of Demand = [((q1 - 5) / 5) * 100] / [((p1 - (5/3)) / (5/3)) * 100]

Simplifying the equation gives:
Elasticity of Demand = [(q1 - 5) / (p1 - (5/3))] * (5/3)

Conclusion:
To calculate the elasticity of demand at a specific price, we need to determine the new quantity demanded and the new price. By using the formula for elasticity of demand, we can then calculate the responsiveness of quantity demanded to a change in price.