I need someone to tell me the answer to this, I have it but I don’t think it’s correct.

Question

Jessica paid $11.00 for 1 muffin and 2 loaves of bread.

Brian paid $12.00 for 7 muffins and 1 loaf of bread.

• The price of each muffin was the same

The price of each loaf of bread was the same.

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If the prices remain the same at the bakery, how much would it cost for 1 muthn and I loaf of bread?

Answer 1

Hi Khloe,

I concurrent with Edward's advice, try to use letters that remind you what they represent.

If m is the cost of one muffin, and b is the cost of 1 loaf of bread we can use those variables to describe how Jessica's and Brian's total costs were obtained.

m + 2b = 11 and 7m + b = 12

One thing I LOVE about systems of equations problems is that there are ALWAYS choices on how to solve them. In fact, I often encourage my students to use two methods and confirm that they both lead to the same answer.

Substitution Method:

When I "see" invisible 1's amongst the coefficients I'm a sucker for the substitution method because I can solve for one of the variables without using division, which means NO FRACTIONS!

For instance, I can solve the first equation for m and get m = 11 - 2b.

Next, I substitute that for the m in the other equation and get 7(11 - 2b) + b = 12.

Distribute the 7 through the parentheses and get 77 - 14b + b = 12

Collecting like terms gives us -13b = -65

Dividing by -13 reveals b = 5.

Substituting 5 for b into m = 11 - 2b, gives us m = 11 - 2(5) or m = 1

Therefore, a loaf of bread costs $5 and each muffin is $1.

BUT WAIT!!!

Always make sure you answer the question in the question.

We were asked "How much would it cost for and 1 muffin and 1 loaf of bread?"

The final answer is $6.

Answer 2

Khloe,

it’s easy to check your answer.

your answer consists of two numbers:

cost of a loaf of bread, call it b.

cost of a muffin, call it m.

so evaluate both equations

m + 2b = 11,

7m + b = 12

is that what you get? If so, your answer is right. If not, it’s wrong.