Aretailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack. if the retailer sold all the shirts it purchased and profited $84 on the sale, how many packs of shirts did it sell?

We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

We can set this equal to the given profit to figure out the value of x first.

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.

good luck!

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