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 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

Answer 1

Let us make a list of all the details we have

We are given

The cost of each solid chocolate truffle = s

The cost of each cream centre chocolate truffle = c

The cos to each chocolate truffle with nuts = n

The first type of sweet box that contains 5 each of the three types of chocolate truffle costs $41.25

That is 5s+5c+5n = 41.25 (cost of each type of truffle multiplied by their respective costs and all added together)

The second type of sweet box that contains 10 solid chocolate trufles, 5 cream centre truffles and 10 chocolate truffles with nuts cost $68.75

That is 10s+5c+10n = $68.75

The third type of sweet box that contains 24 truffles evenly divided that is 12 each of solid chocolate truffle and chocolate truffle with nuts cost $66.00

That is 12s+12n=$66.00

Hence option C is the right set of equations that will help us solve the values of each chocolate truffle.