Question

1. dylan uses butter to bake cookies and muffins.- he uses $\frac{5}{8}$ cups of butter for 1 batch of cookies.- he uses $\frac{3}{4}$ cups of butter for 1 batch of muffins.part adylan makes 2 batches of cookies and 3 batches of muffins. how much butter does he need?______ cupspart bdylan has $3\frac{3}{4}$ cups of butter to make 2 batches of cookies and 3 batches of muffins. what else can dylan make with the leftover butter?a. $\frac{1}{3}$ batch of cookiesb. $\frac{1}{3}$ batch of muffinsc. $\frac{4}{5}$ batches of cookiesd. $\frac{2}{3}$ batches of muffins

Explanation:

Step1: Calculate butter for 2 cookie batches

$2 \times \frac{5}{8} = \frac{10}{8} = \frac{5}{4}$ cups

Step2: Calculate butter for 3 muffin batches

$3 \times \frac{3}{4} = \frac{9}{4}$ cups

Step3: Total butter for Part A

$\frac{5}{4} + \frac{9}{4} = \frac{14}{4} = \frac{7}{2} = 3\frac{1}{2}$ cups

Step4: Find leftover butter for Part B

$3\frac{3}{4} - 3\frac{1}{2} = \frac{15}{4} - \frac{14}{4} = \frac{1}{4}$ cups

Step5: Test each option for leftover butter

• Option A: $\frac{1}{3} \times \frac{5}{8} = \frac{5}{24}

eq \frac{1}{4}$

• Option B: $\frac{1}{3} \times \frac{3}{4} = \frac{1}{4}$, matches
• Option C: $\frac{4}{5} \times \frac{5}{8} = \frac{1}{2}

eq \frac{1}{4}$

• Option D: $\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}

eq \frac{1}{4}$

Answer:

Part A: $\boldsymbol{3\frac{1}{2}}$
Part B: $\boldsymbol{B. \frac{1}{3} batch of muffins}$