Question

a box of crackers contains $16\frac{1}{2}$ ounces. a serving of crackers is $1\frac{1}{2}$ ounces. how many servings are in the box of crackers?\
a 8\
b 11\
c 15\
d 24\
question 4:\
scott washed cars for $2\frac{1}{2}$ hours as a fundraiser. it took him $\frac{1}{4}$ hour to wash one car. how many cars did scott wash?\
a 10\
b 8\
c 6\
d 5

Explanation:

First Question (Crackers Servings)

Step1: Convert mixed numbers to improper fractions

The total ounces of crackers is $16\frac{1}{2}=\frac{16\times2 + 1}{2}=\frac{33}{2}$ ounces. A serving is $1\frac{1}{2}=\frac{1\times2+1}{2}=\frac{3}{2}$ ounces.

Step2: Divide total ounces by serving size

To find the number of servings, we divide $\frac{33}{2}$ by $\frac{3}{2}$. When dividing fractions, we multiply by the reciprocal: $\frac{33}{2}\div\frac{3}{2}=\frac{33}{2}\times\frac{2}{3}$. The 2s cancel out, and we have $\frac{33}{3}=11$.

Step1: Convert mixed number to improper fraction

The total time Scott washed cars is $2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ hours.

Step2: Divide total time by time per car

To find the number of cars, we divide $\frac{5}{2}$ by $\frac{1}{4}$. Multiply by the reciprocal: $\frac{5}{2}\div\frac{1}{4}=\frac{5}{2}\times4=\frac{20}{2}=10$.

Answer:

B. 11

Second Question (Scott Washing Cars)