Question

Molly, Landy and Jasmine are hairdressers. Molly and Landy have 678 hairpins altogether. Landy and Jasmine have 984 hairpins altogether. If Molly has 3/5 as many hairpins as Jasmine how many hairpins does Landy have? Pls show working :)

Answer 1

Answer:

219 hairpins.

Step-by-step explanation:

Let, Jasmine has $x$ hairpins.

Number of hairpins of Molly = $x \times \frac{3}{5} = \frac{3x}{5}$

As question said, Molly and Landy have 678 hairpins together.

We have calculated that Molly have $\frac{3x}{5}$ hairpins.

So, the number of hairpins of Landy = $678 - \frac{3x}{5}$

Now,

Landy and Jasmine have 984 hairpins together, so we can write from the above as,

$x+ (678-\frac{3x}{5} ) = 984$

$x - \frac{3x}{5} = 984 - 678$

$\frac{2x}{5} = 306$

$2x = 1530$

$x = 765$

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.