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)
