Susie's Sweet Shops sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center chocolate truffles, and chocolate truffles with nuts.
A box containing 5 of each type of truffle costs $41.25. A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75. A box with only 24 truffles evenly divided between solid chocolate truffles and chocolate truffles with nuts costs $66.00.
If s represents the cost per solid chocolate truffle, c represents the cost per cream center chocolate truffle, and n represents the cost per chocolate truffle with nuts, which system of equations can be used to determine the cost of each type of chocolate truffle?
A)
5s+5c+5n=5(41.25)
10s+5c+10n=25(68.75)
12s+12n=24(66)
B)
5s+5c+5n=41.25
10s+5c+10n=68.75
8s+8n+8n=66
C)
5s+5c+5n=41.25
10s+5c+10n=68.75
12s+12n=66
D)
5s-5c-5n=41.25
10s-5c-10n=68.75
8s-8n-8n=66
