Question

Susie's Sweet Shop 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 12 solid chocolate truffles and 12 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?

Answer 1

So, the system of equations are

5 s+5 c+5 n=41.25

10 s+5 c+10 n=68.75

12 s+12 n=66

Explanation:

We are given S represents the cost per solid chocolate.

C represents the cost per cream center chocolate

n represent the cost per chocolate with nuts.

So, we can set up equation for each sentences,

For A box containing 5 of each type of truffle costs $41.25

5 s+5 c+5 n=41.25

For A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75

10 s+5 c+10 n=68.75

For box with only 12 solid chocolate truffles and 12 chocolate truffles with nuts costs $66.00

12 s+12 n=66