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 :)

Respuesta :

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.

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