Tangerine trees yield 50 pounds of fruit per acre and grapefruit trees yield 75 pounds of fruit per acre. sheila's orchard produced a maximum total of 1,500 pounds of fruit. is it possible for sheila to have 15 acres of tangerine trees and 10 acres of grapefruit trees?

Tangerine trees yield 50 pounds of fruit per acre.

Grapefruit trees yield 75 pounds of fruit per acre.

Let the number of acres of tangerine = x

And the number of acres of grapefruit = y
The total produced of fruit = 1,500

The equation which represents the total fruits of tangerine and grapefruit is:

   50 x + 75 y = 1500 →→(1)

Now, to answer the given question, Is it possible for Sheila to have 15 acres of tangerine trees and 10 acres of grapefruit trees?
∴ x = 15  and  y = 10
By substitution in (1) with x and y
∴ 50 * 15 + 75 * 10 = 750 + 750 = 1500
Which is agree with the total produced from Sheila's orchard.

So, the answer is :
Yes, it is possible for Sheila to have 15 acres of tangerine trees and 10 acres of grapefruit trees.