Question

a recipe that serves 6 uses $1\frac{1}{4}$ cups of flour. how many cups are needed to serve 8?
a recipe that serves 10 uses 5 teaspoons of molasses. how many teaspoons are needed to serve 6?

Explanation:

First Sub - Question (Flour for serving 8)

Step 1: Find flour per serving

The recipe serves 6 with $1\frac{1}{4}=\frac{5}{4}$ cups of flour. So per serving, it's $\frac{5}{4}\div6=\frac{5}{4}\times\frac{1}{6}=\frac{5}{24}$ cups.

Step 2: Calculate for 8 servings

For 8 servings, multiply per - serving amount by 8: $\frac{5}{24}\times8=\frac{5}{3}=1\frac{2}{3}$ cups.

Step 1: Find molasses per serving

The recipe serves 10 with 5 teaspoons of molasses. So per serving, it's $5\div10 = 0.5$ teaspoons.

Step 2: Calculate for 6 servings

For 6 servings, multiply per - serving amount by 6: $0.5\times6 = 3$ teaspoons.

Answer:

$1\frac{2}{3}$ cups

Second Sub - Question (Molasses for serving 6)