Problem: at a summer camp with 2100 participants , 1 / 2 of the campers are aged 8 to 12 . next year , the number of campers aged 8 to 12 will increase by 1 / 3 . after this change , what percentage of the total 2100 campers will the 8 - to 12 - year - olds represent ?
Rationale: "total - 2100 participants campers are aged 8 to 12 = ( 1 / 2 ) * 2100 = 1050 next year , campers are aged 8 to 12 = ( 4 / 3 ) * 1050 = 1400 percentage = ( 1400 / 2100 ) * 100 = 66 2 / 3 % answer : option e"
annotated_formula: add(multiply(multiply(divide(multiply(divide(add(const_1000, multiply(8, const_100)), 2), add(divide(1, 3), 1)), add(const_1000, multiply(8, const_100))), const_100), 3), divide(multiply(multiply(divide(multiply(divide(add(const_1000, multiply(8, const_100)), 2), add(divide(1, 3), 1)), add(const_1000, multiply(8, const_100))), const_100), 3), const_10))