There is 43 plants in Trinas garden . they planted twice as many cucumbers as zucchini and eight more tomatoes than cucumbers. find the number of each kind of plant in her garden.

She planted 7 zucchini, 14 cucumbers, and 22 tomatoes.

Let z = the number of zucchini planted.  Since she planted twice as many cucumbers as zucchini, 2z is the number of cucumbers.  She planted 8 more tomatoes than cucumbers, so 2z + 8 is the number of tomatoes.  This gives us the equation

z + 2z + 2z + 8 = 43

Combining like terms, we have

5z + 8 = 43

Subtract 8 from each side:

5z + 8 - 8 = 43 - 8

5z = 35

Divide both sides by 5:

5z/5 = 35/5

z = 7

There were 7 zuccchini; 2*7 = 14 cucumbers; and 14+8=22 tomatoes.

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