Question

Maria buys 5 packs of Thin Mints and 2 packs of

Samoas for $37. Todd buys 1 pack of Thin Mints and 3 packs of Samoas $23. How much does each pack
cost?

Answer 1

Each pack of Thin Mints costs $5 and each pack of Samosa costs $6.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's first assign variables to the unknown quantities. Let x represent the cost of a pack of Thin Mints and let y represent the cost of a pack of Samosa. From the given information, we can write the following equations:

5x + 2y = 37 (equation 1)

x + 3y = 23 (equation 2)

To solve this system of equations, we can use the method of substitution or elimination. Let's use substitution. From equation 2, we can express x in terms of y:

x = 23 - 3y

Substituting this expression for x in equation 1, we get:

5(23 - 3y) + 2y = 37

Simplifying this equation, we get:

115 - 15y + 2y = 37

Combining like terms, we get:

-13y = -78

Dividing both sides by -13, we get:

y = 6

Substituting this value of y back into equation 2, we can find the value of x:

x + 3(6) = 23

Simplifying this equation, we get:

x + 18 = 23

Subtracting 18 from both sides, we get:

x = 5

Therefore, each pack of Thin Mints costs $5 and each pack of Samosa costs $6.