Official Solution: Bunuel
A museum issued a certain number of annual passes. 15% of the passes were never activated. Of the activated passes, 40% were Family passes and 60% were Individual passes. Among the activated passes, 21/34 of the Family passes and 1/3 of the Individual passes were used fewer than 6 times during the month.
Of all passes issued, A percent are Family passes that were used fewer than 6 times during the month, and B percent are Individual passes that were used fewer than 6 times during the month.
Select for
A and for
B the options that complete the statement so that it is most accurate based on the information provided. Make only two selections, one in each column.
Take the whole population as 100% of passes.
15% were never activated, so 85% were activated.
Family and used fewer than 6 times: Of the activated passes, 40% were Family, so Family activated = 0.85 * 0.40 = 34% of all passes.
Of those Family passes, 21/34 were used fewer than 6 times, so 34% * 21/34 = 21%.
So A = 21.
Individual and used fewer than 6 times: Of the activated passes, 60% were Individual, so Individual activated = 0.85 * 0.60 = 51% of all passes.
Of those Individual passes, 1/3 were used fewer than 6 times, so 51% * 1/3 = 17%.
So B = 17.
Correct answer: A
"21"B
"17"