Ms. Poole, my PE teacher, asked the 100 seventh in my school if they could swim. Half the boys and two thirds of the girls said yes. Seventeen boys said no. How many seventh graders know how to swim?

17 boys do not know how to swim. Therefore, 17 boys do swim.

100 - 34 = 66 girls

2/3 * 66 = 132/3 = 44

44 + 17 = ?

Easy. Ok

"Half the boys said....yes" which means half said no. 17 said no so that means 17 out of 34 boys know to swim. Now for the girls, we know there are 34 boys so that leaves 66 girls total. 66 multiplied by 2/3 is 44. (44 girls said yes.) 44+34= 78.

Therefore 78 seventh graders know how to swim

(actually sorry, it's 17+44, I made a mistake. That is equal to 61)

Half the boys said yes so half said yes. 17 boys said no so the other half said yes so 17 boys said yes. 17 + 17 = 34 boys total. Now 100 students take away 34 boys (students) which now leaves 66 students (girls) total.

now 2/3 of 66 is 44 because 22 times 3 = 66. so Now 44 girls said yes and 17 boys said yes so 44 + 17 = 61 seventh graders know how to swim.

Half the boys said yes so that means 17 boys said no. 17+17= 34 boys. 100 students minus 34 boys equals 66 girls. Now, 2/3 of 66 is 44 because 22 times 3= 66. So that means that 44 girls said yes and 17 boys said yes so 44+17= 61 seventh graders that know how to swim.

Answer is 61

To solve this problem, let's break it down step by step:

1. Start by finding the total number of boys and girls in the seventh grade:

- Since there are 100 seventh graders in total, let's assume there are 'x' boys and 'y' girls.

2. Next, determine the number of boys who can swim:

- The problem states that half the boys said yes, so the number of boys who can swim is (1/2) * x.
- It also mentions that 17 boys said no, so the number of boys who cannot swim is 17.

3. Then, calculate the number of girls who can swim:

- The problem states that two-thirds of the girls said yes, so the number of girls who can swim is (2/3) * y.

4. Now, we can set up two equations using the information given:

- (1/2) * x + 17 = total number of boys who can swim
- (2/3) * y = total number of girls who can swim

5. Finally, we need to find the total number of seventh graders who can swim:

- Add the number of boys who can swim to the number of girls who can swim: (1/2) * x + 17 + (2/3) * y

Note: We don't have enough information to determine the values of 'x' and 'y' or calculate the exact number of seventh graders who can swim without further details.