The ratio of shoes sold to sandals was 8: 5. if there were 72 sandals sold how many shoes were sold?
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The answer is: 45 sandals.

Explanation: 

The ratio of:

shoes : sandals = 8:5

We want to know how many SHOES were sold; if 72 sandals were sold.

→ 8:5 = x:72 ; in which "x" = number of shoes were sold;

We can write this as:

→ 8 / 5 = x / 72; 

→ Cancel the "8" to a "1"; and change the "72" to a "9"; since "8 * 9 = 72" ;

→ and rewrite as:  1 / 5 = x / 9 ; 

→ SInce "1/5" = 0.2 ; write as: 0.2 = x / 9 ↔  (0.2) x = 9 ;

→ Now, divide EACH side of the equation by "(0.2)" ; to isolate "x" on one side of the equation; and to solve for "x' ; 

→ (0.2) x / (0.2) = 9 / (0.2) ; → to get: 45.

The answer is: 45 sandals.

(Note: Ratio of 45 shoes to 72 sandals)