Elizabeth has 1 7/10 as many plants as rosalie has in her garden. If Elizabeth has has 51 plants, how many plants does rosalie have in her garden?

1.7x = 51

x = ?

To find out how many plants Rosalie has in her garden, we need to determine the value of one whole unit of plants that Elizabeth has.

We know that Elizabeth has 1 7/10 (which can be written as 17/10) as many plants as Rosalie. We can set up the following equation:

Rosalie's plants = (17/10) * Elizabeth's plants

Since Elizabeth has 51 plants, we can substitute this value into the equation:

Rosalie's plants = (17/10) * 51

To solve this equation, we can multiply 17/10 by 51:

Rosalie's plants = (17/10) * 51 = (17 * 51) / 10

Multiplying 17 by 51 gives us 867, so the equation becomes:

Rosalie's plants = 867 / 10

To simplify the fraction, we divide 867 by 10:

Rosalie's plants = 86 remainder 7/10

So, Rosalie has 86 7/10 plants in her garden.