<h2>
Answer:</h2><h2>
The cost of ketchup bottle, x = 2.89</h2><h2>
The cost of mustard bottle, y = 1.59</h2>
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
