Question

A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​ Finally, the thief leaves the nursery with 10 plants. How many plants were originally​ stolen?

1. The thief originally stole 64 plants.

### What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.
Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give onehalf of the plants that he still​ had, plus 2 more.​
Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x – 7x/8 + 2 = 10
x/8 = 8
x = 64
Thus, the thief stole 64 plants.