Wombat (WB) Problem Of the Week--please help?

Question

a woman at the zoo said to a clown that we're having a problem with WB's at this moment.she said:16and 2/3% WB'sof the zoo's 150 WB's had become infected with fleas, ticks or both. last week she sent her 2 assistants Orly and Willy to count the # of WB's w/ fleas and the number of ticks, & the # of both ticks & fleas. they didn't follow her directions and determined only that 20 WB's have fleas, and 14 WB's have ticks. The woman said she would have to re-examine all 150 WB's to determine how many have only fleas, how many have only ticks, and how many have both fleas & ticks.

please help the clown impress the woman by determing the number of infected WB's in each catagory.

please if you can, show all your work.

thank you

Answer 1

16-2/3% of 150 is 25. Therefore, 25 are infected with fleas, tick, or both. 14+20-25=9

9 have ticks and fleas
20 have fleas
14 have ticks

Draw the Venn diagram with two intersecting circle.

9 will go in the intersection, 5 in the just ticks and 11 in the just fleas.

Answer 2

9 have ticks and fleas
5 have just ticks
11 have only fleas