Question

Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. Determine the total cost for 6 white chocolate pretzels and one dark chocolate pretzel.

Answer 1

Explanation:

Let x represent the cost of one white chocolate pretzel.

Let y represent the cost of one dark chocolate pretzel.

Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that

4x + 6y = 10.5 - - - - - - - - - - -1

Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that

8x + 3y = 9.75 - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 48y = 84

32x + 12y = 39

Subtracting, it becomes

36y = 45

y = 45/36 = $1.25

Substituting y = 1.25 into equation 1, it becomes

4x + 6 × 1.25 = 10.5

4x + 7.5 = 10.5

4x = 10.5 - 7.5 = 3

x = 3/4 = $0.75

the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be

6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75