a summer camp has 32 campers. a total of 22 of them swim, 20 play softball, and 5 do not swim or play…

a summer camp has 32 campers. a total of 22 of them swim, 20 play softball, and 5 do not swim or play softball. which values complete the table?\n○ a = 15, b = 10, c = 7, d = 5, e = 12\n○ a = 15, b = 7, c = 5, d = 10, e = 12\n○ a = 14, b = 7, c = 5, d = 12, e = 10\n○ a = 14, b = 12, c = 7, d = 5, e = 10

a summer camp has 32 campers. a total of 22 of them swim, 20 play softball, and 5 do not swim or play softball. which values complete the table?\n○ a = 15, b = 10, c = 7, d = 5, e = 12\n○ a = 15, b = 7, c = 5, d = 10, e = 12\n○ a = 14, b = 7, c = 5, d = 12, e = 10\n○ a = 14, b = 12, c = 7, d = 5, e = 10

Answer

Explanation:

Step1: Find the number of campers who do not swim

The total number of campers is 32 and 22 swim. So the number of campers who do not swim $d=32 - 22=10$.

Step2: Find the number of campers who do not play softball

The total number of campers is 32 and 20 play softball. So the number of campers who do not play softball $e = 32-20 = 12$.

Step3: Find the number of campers who swim and play softball

We know that 20 play softball and the number of non - swimming softball - players is $c$. Also, the number of non - swimming campers is $d = 10$ and the number of non - swimming non - softball - players is 5, so $c=10 - 5=5$. Since 20 play softball and $c = 5$, the number of swimming softball - players $a=20 - 5=15$.

Step4: Find the number of campers who swim but do not play softball

We know that 22 swim and $a = 15$ swim and play softball. So the number of campers who swim but do not play softball $b=22 - 15 = 7$.

Answer:

$a = 15, b = 7, c = 5, d = 10, e = 12$