Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12. the next week, sarah bought 2 loaves of bread and 3 gallons of milk for $13.50. which system of equations below can be used to determine the cost of one loaf of bread (b) and one gallon of milk (m)?

Here, b represents one loaf of bread and m represents the one gallon of milk.

As per the statement:

Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.

⇒  

It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.

⇒

Then; system of equation :

                  .....[1]

          .....[2]

Solve for b and m using above system of equations.

Multiply equation [2] by 2 we get;

             .....[3]

Subtract equation [1] from [3] we get;

Combine like terms;

Divide both sides by 5 we get;

m = $3

Substitute the value of m in equation [1] we get;

Subtract 3 from both sides we get;

Divide both sides by 4 we get;

b = $2.25

Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:

$2.25 ad $3

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step-by-step explanation: