Question

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

Answer 1

the cost of ketchup is $3.53 & mustard is $0.63 .

Step-by-step explanation:

Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :

Let cost of ketchup be x and mustard be y than ,

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

We have following equation ,

⇒ $3x+2y=11.85$   ..........(1)

Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73

We have following equation ,

⇒ $3x+5y=13.73$        ........(2)

Now , (2) - (1) , i.e.

⇒ $3x+5y-(3x+2y)= 13.73-11.85$

⇒ $3y= 1.88$

⇒ $y=0.627$

Putting value of y in (1) :

⇒ $3x+2(0.627)=11.85$

⇒ $3x=11.85-1.254$

⇒ $x=3.532$

Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .

Answer 2

The cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Explanation:

Given:

3 bottles of ketchup + 2 bottles of mustard = $11.85

3 bottles of ketchup + 5 bottles of mustard = $13.73

Cost of each = ?

Let x be the cost of each bottle of ketchup

Let y be the cost of each bottle of mustard

According to the question:

3x + 2y = $11.85

3x + 5y = $13.73

Substituting both the equation, we get:

3x + 2y = $11.85

3x + 5y = $13.73

________________

-3y = -1.88

y = $0.626

Substituting the value of y = $0.626 in equation 1

3x + 2(0.626) = $11.85

3x + 1.252 = $11.85

3x = 10.598

x = $3.532

Therefore, cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626