A cafeteria has two soda machines. Once machine has the following flavors: Cola, root beer, and lime. The second machine has lemon, orange, cola, and cherry. Which set represents all flavors in the two machines.

a. {Cola, root beer, lime}
b. {cola}
c. {cola, cola, root beer, lime, lemon, orange, cherry}
d. {cola, root beer, lime, lemon, orange, cherry} ***

of 350 male athletes at a highschool, some play only basketball, and some do both. if 250 of the males play basketball and 120 play both sports, how many of the males play baseball
a. 100
b. 220 **
c. 130
d. 120

i know im four years late but no one has corrected Reiny. second one is correct, b. this is for the people using connexus for the solving inequalities unit test.

mixikamo, I don't know if you can count properly but you said four years in 2020. Reiny posted in 2014, 2020-2014 is 4??? Also, Reiny solved the question correctly. They said 220 for all of the baseball circle, they had stated that the word problem was wrote poorly. They were just breaking down the problem with a Venn diagram.

To answer the first question, we need to find the set that represents all the flavors in the two machines.

We can start by listing the flavors in each machine:

Machine 1 flavors: Cola, root beer, lime
Machine 2 flavors: Lemon, orange, cola, cherry

Now, let's combine the flavors from both machines:

{Cola, root beer, lime, lemon, orange, cola, cherry}

We see that "cola" appears twice in the combined set, so we can remove the duplicate. This leaves us with the set:

{Cola, root beer, lime, lemon, orange, cherry}

Therefore, the answer is d. {cola, root beer, lime, lemon, orange, cherry}.

For the second question, we are given that there are 350 male athletes at a high school. Among those, 250 play basketball and 120 play both basketball and baseball.

To find the number of males who play baseball, we need to subtract the number of males who play both sports from the total number of basketball players:

250 - 120 = 130

Therefore, the answer is c. 130.

1st correct

2nd ...
Poorly worded

make a Venn diagram and fill in the data,
according to your data, 130 play only basketball,
120 play both and 100 play only baseball
so 220 for all of baseball circle is correct