how many plants were tall but neither had smooth or green peas? how many plants

Question

how many plants were tall but neither had smooth or green peas?

how many plants were not tall but had smooth and green peas?

After a genetics experiment on 56 pea plants, the number of plants having certain characteristics was tallied, with the results given to the right. Answer parts (a) through (c). 22 were tall; 29 had green peas 41 had smooth peas 9 were tall and had green peas; 19 had green peas and smooth peas; 5 had all three charácteristics; 2 had none of the characteristics. (a) Find the number of plants that were tall and had smooth peas. plants To Thi Co

Explanation / Answer

you start with plants that had all three characteristics, and then proceed from that

had all three characteristics = 7
tall and had green peas = 9 - 7 = 2
tall and had smooth peas = 15 - 7 = 8
had green peas and smooth peas = 19 - 7 = 12
tall - 7 - 2 - 8 = 8
had green peas - 7 - 2 - 12 = 1
had smooth peas - 7 - 8 - 12 = 13
none of the characteristics = 5

so the total # of plants counted = 7+2+8+12+8+1+13+5 = 56

and # of plants were neither smooth nor green = tall only + none of the characteristics = 8+5 = 13.

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