Answer:
219 hairpins.
Step-by-step explanation:
Let, Jasmine has [tex]x[/tex] hairpins.
Number of hairpins of Molly = [tex]x \times \frac{3}{5} = \frac{3x}{5}[/tex]
As question said, Molly and Landy have 678 hairpins together.
We have calculated that Molly have [tex]\frac{3x}{5}[/tex] hairpins.
So, the number of hairpins of Landy = [tex]678 - \frac{3x}{5}[/tex]
Now,
Landy and Jasmine have 984 hairpins together, so we can write from the above as,
[tex]x+ (678-\frac{3x}{5} ) = 984[/tex]
[tex]x - \frac{3x}{5} = 984 - 678[/tex]
[tex]\frac{2x}{5} = 306[/tex]
[tex]2x = 1530[/tex]
[tex]x = 765[/tex]
It means, Jasmine has 765 hairpins.
Since Jasmine and Landy have 984 hairpins together.
So,
Number of hairpins of Landy = 984 - 765 = 219
So, Landy has 219 hairpins.