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Enter the corredeach column.4. Madam Malkin owns Madam Malkin's Robes for AllOcassions which is a clothing store. She has abudget of $6000 to restock 200 clothing items.She can buy Hogwarts shirts for $12 each, Robes for$24 each, and Quidditch shirts for $36 each. If shewants to have twice as many Quidditch shirts asRobes, how many of each type of shirt should shebuy?11)223HOW MANY QUIDDITCH SHIRTS DID MADAMMALKIN BUY?445

Respuesta :

Let's define some notation first:

H= number of Hogwarts, R= number of robes, Q= number of Quidditch

We can set up the following equation for the total of clothing items:

[tex]H+R+Q=200[/tex]

We also know that Q= 2R so we have:

[tex]H+3R=200[/tex]

Now we can create an equation for the amount of money and we have:

[tex]12H+24R+36Q=6000[/tex][tex]12H+96R=6000[/tex]

Now we can replace H=200-3R and we got:

[tex]12(200-3R)+96R=6000[/tex]

And solving for R we got:

[tex]60R=3600[/tex][tex]R=\frac{3600}{60}=60[/tex]

And then Q would be:

[tex]Q=2R=120[/tex]

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