Question

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

Answer 1

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:

`H+R+Q=200`

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

`H+3R=200`

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

`12H+24R+36Q=6000`
`12H+96R=6000`

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

`12(200-3R)+96R=6000`

And solving for R we got:

`60R=3600`
`R=(3600)/(60)=60`

And then Q would be:

`Q=2R=120`