Answer:
Number of Large Pizzas: 30
Number of Medium Pizzas: 8
Number of Small Pizzas: 27
Step-by-step explanation:
L = # of large Pizzas
M = # of medium Pizzas
S = # of small Pizzas
Amount:
L = 4M - 2
S = 3M + 3
Cost:
21L + (I'm assuming you meant 14) 14M + 7S = 931
Plus in the Amounts to the Cost:
21(4M - 2) + 14M + 7(3M + 3) = 931
84M - 42 + 14M + 21M +21 = 931
Combine like terms:
119M - 21 = 931
Isolate the Variable:
119M - 21 + 21 = 931 + 21
119M = 952
119M/119 = 952/119
M = 8
Plug it into the Amount equations:
Large: L = 4(8) - 2
L = 32 - 2
L = 30
Small: S = 3M + 3
S = 3(8) + 3
S = 24 + 3
S = 27
Check your work (plug the values into Cost.):
21(30) + 14(8) + 7(27) = 931
630 + 112 + 189 = 931
931 = 931
Any expression that has x^3 anywhere in the formula :)
A polynomial is just a string of x's or y's with superscrips ^2 and ^3 etc...
^2 is square & ^3 is cube
