To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages. First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages. Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.
To find our x, substitute the y in 8x + 5y = 90 to get 8x + 5(15 - x) = 90 Distribute: 8x + 75 - 5x = 90 Combine the X's and subtract the 75: 3x = 15 Divide the 3: x = 5
Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.
So, you have delivered 5 paper plate packages and 10 utensil packages.
