Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85. Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73. Find the cost of each.

Answer:The cost of ketchup bottle, x = 2.89The cost of mustard bottle, y = 1.59

Step-by-step explanation:

Let the ketchup be represented as x and mustard as y

Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85

3x + 2y = 11.85 ... (1)

Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.

2x + 5y = 13.73 ... (2)

Multiplying eq (1) by 2, we get

6x + 4y = 23.7 ... (3)

Multiplying eq (2) by 3, we get

6x + 15y = 41.19 ... (4)

Subtracting eq (3) from (4),

we get 11y = 17.49

y = 1.59, substitute it in eq (1), we get

x = 2.89

Therefore, the cost of ketchup bottle, x = 2.89

The cost of mustard bottle, y = 1.59