SOLUTION: Please help me with this problem. Thank you!!!! Problem: Retail Sales of Sweatshirts. Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones

Question 201904: Please help me with this problem. Thank you!!!!
Problem:
Retail Sales of Sweatshirts.
Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones sell for $19.50 each. If receipts for the sale of 30 sweatshirts total $572.90, how many of each color did the shop sell?
Thank you!
Answer by PRMath(133) (Show Source): You can put this solution on YOUR website!
Sandy's Sweatshirt Shop sells college sweatshirts. White sell for $18.95 each and red ones sell for $19.50 each. If receipts for the sale of 30 sweatshirts total $572.90, how many of each color did the shop sell?

Word problems. Blech. Let's get rid of info you don't need, such as the name of the store etc. Those are just added on words that muddy the water.
Essentially you have:

White shirts at $18.95 each (Let's label these as "W")
Red shirts at $19.50 each (Let's label these as "R")
Total shirts sold: 30
Total price for shirts: $572.90

So, you have to think that a number of white shirts times 18.95 PLUS a number of red shirts times 19.50....... MINUS the number of white shirts sold....... will give you the total price.

The way you write this equation is:

18.95W + 19.50R(30 - w) = 572.90 (See where the total number of shirts LESS the number of white shirts (30 - w) sold was slipped into the equation?)

Now that you have your equation, you solve........

18.95W + 585 - 19.50W = 572.90 (distributed 19.50 times 30 plus 19.50 times w)
-.55W + 585 = 572.9 (combined the 18.95W - 19.50W)
-.55W = -12.10 (subtracted 585 from both sides)
W = 22 (divided both sides by -.55)
Sooooo, we have 22 shirts were white. Then how many shirts were red? Well, there were 30 sold in total, soooo, if 22 were white, then 8 were red.

Does this check out?
W = 22 white shirts with a total white price of 416.90
R = 9 red shirts, with a total red prices of... 156.00

TOTAL price (add two prices above..........) 572.90

OH so it works! Niiiiiiiice.

Hope this helps. :-)
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