Question

completing a two - way table. 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? o a = 15, b = 10, c = 7, d = 5, e = 12 o a = 15, b = 7, c = 5, d = 10, e = 12 o a = 14, b = 7, c = 5, d = 12, e = 10 o a = 14, b = 12, c = 7, d = 5, e = 10

Explanation:

Step1: Find the number of campers who do not swim

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

Step2: Find the number of non - swimming campers who play softball

We know that 20 play softball and $a + c=20$. Also, the number of non - swimming campers is 10 and 5 do not play softball among non - swimmers. So the number of non - swimming campers who play softball $c=10 - 5 = 5$.

Step3: Find the number of swimming campers who play softball

Since $a + c=20$ and $c = 5$, then $a=20 - 5=15$.

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

Since the number of swimmers is 22 and $a = 15$, then $b=22 - 15 = 7$.

Step5: Find the number of campers who do not play softball

Since there are 32 campers in total and 20 play softball, then $e=32 - 20=12$.

Answer:

$a = 15, b = 7, c = 5, d = 10, e = 12$ (Second option)