Question

There are 83 species of butterflies at a butterfly world. That is 38 more than 5/6 of the species x, found in Florida. Which equations can be used to determine the number found in Florida?

Answer 1

The equation to determine the number of species in florida is:

$38 + \frac{5}{6}x = 83 \text{ or } \frac{5}{6}x = 45$

Solution:

Given that,

There are 83 species of butterflies at a butterfly world

That is 38 more than 5/6 of the species x, found in Florida

To find: Equation used to determine the number found in Florida

From given statement,

83 species of butterflies = 38 more than 5/6 of the species x

Which can be written mathematically as,

$83 = 38 + \frac{5}{6} \times x\\\\38 + \frac{5}{6}x = 83$

Thus the equation to determine the number of species in florida is found

Let us solve the equation

$\frac{5}{6}x = 83-38\\\\\frac{5}{6}x = 45\\\\5x = 45 \times 6\\\\5x = 270\\\\x = 54$

Thus 54 species is found in florida