completing a two - way table\na summer camp has 32 campers. a total of 22 of them swim, 20 play softball…

completing a two - way table\na 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

completing a two - way table\na 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

Answer:

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

Explanation:

Step1: Find the value of $d$

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

Step2: Find the value of $c$

The total number of campers who play softball is 20 and the number of swimmers who play softball is $a$. The number of non - swimmers who play softball $c$ can be found using the fact that the total number of softball players is 20. Also, since $d = 10$ and the number of non - swimmers who do not play softball is 5, then $c=d - 5=10 - 5 = 5$.

Step3: Find the value of $a$

The total number of swimmers is 22 and the number of swimmers who do not play softball is $b$. The total number of softball players is 20. We know that the number of non - swimmers who play softball is $c = 5$, so the number of swimmers who play softball $a=20 - c=20 - 5=15$.

Step4: Find the value of $b$

Since the number of swimmers is 22 and $a = 15$, then the number of swimmers who do not play softball $b=22 - a=22 - 15 = 7$.

Step5: Find the value of $e$

The total number of campers is 32 and the number of softball players is 20. So the number of non - softball players $e=32 - 20=12$.