in a class of 38 children,19 play tennis, 21 play squash and 10 play neither sport. (1)how many children play both sports?(2)how many children play only tennis
28 play some sport
19+21-both=28
both = 12
tennis only = 19-12 = 7
Isn't 19 + 21 + 40 which is more than the amount of children in the class? Then you add 10 more that don't play it's 50. So how is the class total 38 as implied?
Where did u get the 12 from
there are 4 green marbles,5 blue marbles,and 6 purples marble.
1. What the probability of picking a red marble, not replacing it, then picking a purple marble?
To answer these questions, we can use the concept of sets and Venn diagrams. Let's break it down step by step.
First, we know that there are 38 children in total in the class, and 10 of them play neither tennis nor squash. Let's represent this information in a Venn diagram:
_________________________
| |
| Tennis Squash |
|_________________________|
| |
| |
| |
| |
|_________________________|
Now, we'll fill in the information we have. We know that 19 children play tennis and 21 play squash. Therefore, we can fill in these numbers:
_________________________
| 19 |
|_________________________|
| |
| 21 |
| |
| |
|_________________________|
Let's solve the first question: How many children play both sports?
To find the number of children who play both tennis and squash, we need to find the overlap between the two circles in the Venn diagram. The overlapping region represents the children who play both sports.
From the Venn diagram, we can see that the overlapping region is empty. Therefore, there are no children who play both tennis and squash in this class.
Now, let's move on to the second question: How many children play only tennis?
To find the number of children who play only tennis, we need to subtract the number of children who play both sports from the total number of children who play tennis.
Total number of children who play tennis = 19
Number of children who play both sports = 0
Therefore, the number of children who play only tennis is 19 - 0 = 19.
So, to summarize:
(1) There are 0 children who play both tennis and squash.
(2) There are 19 children who play only tennis.