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DerKrebs [107]
3 years ago
13

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 m

ustard for $13.73. Find the cost of each.
Mathematics
1 answer:
zheka24 [161]3 years ago
3 0
<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

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(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

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