Coffee Shop Drink Ratios

A coffee shop sells two sizes of beverages: small and large. The ratio of the number of small drinks sold to large drinks sold is 5:3. In one particular hour, the shop sold a total of 64 drinks. How many small drinks were sold during that hour?

To solve the problem, let the number of small drinks sold be represented by the variable $s$ and the number of large drinks sold by the variable $l$. Given the ratio of small to large drinks, we can express this as:

$${s ext{ : } l = 5 ext{ : } 3}$$

We also know that the total number of drinks sold is:

$${s + l = 64}$$

Using this information, determine the number of small drinks sold.