two bakers, sam and lisa, are making cookies for a school event. sam has a recipe that calls for 2 1/3 cups…

two bakers, sam and lisa, are making cookies for a school event. sam has a recipe that calls for 2 1/3 cups of flour and will make 3 dozen cookies. he decides to make 1 1/2 times the recipe. lisa has a different recipe that calls for 3 1/4 cups of flour and will make 4 dozen cookies. she decides to keep the recipe the same. sam argues that he will use less flour than lisa. evaluate sams reasoning. is his conclusion correct? if not, identify any errors in his reasoning and determine who will actually use more flour and by how much.

two bakers, sam and lisa, are making cookies for a school event. sam has a recipe that calls for 2 1/3 cups of flour and will make 3 dozen cookies. he decides to make 1 1/2 times the recipe. lisa has a different recipe that calls for 3 1/4 cups of flour and will make 4 dozen cookies. she decides to keep the recipe the same. sam argues that he will use less flour than lisa. evaluate sams reasoning. is his conclusion correct? if not, identify any errors in his reasoning and determine who will actually use more flour and by how much.

Answer

Explanation:

Step1: Calculate Sam's flour amount

Sam's original recipe calls for $2\frac{1}{3}=\frac{7}{3}$ cups of flour. He makes $1\frac{1}{2}=\frac{3}{2}$ times the recipe. So the amount of flour Sam uses is $\frac{7}{3}\times\frac{3}{2}=\frac{7\times3}{3\times2}=\frac{7}{2} = 3.5$ cups.

Step2: Lisa's flour amount

Lisa's recipe calls for $3\frac{1}{4}=\frac{13}{4}= 3.25$ cups of flour and she keeps the recipe the same.

Step3: Compare amounts

Since $3.5>3.25$, Sam uses more flour. The difference is $3.5 - 3.25=0.25$ cups. Sam's reasoning is incorrect.

Answer:

Sam's conclusion is incorrect. Sam uses more flour. The difference is 0.25 cups.