Every day, Bruce's burrito stand uses $1\frac{1}{2}$ bags of tortillas. How many days will $7\frac{1}{2}$ bags of tortillas last? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_$ days

Full solution

Q. Every day, Bruce's burrito stand uses

1\frac{1}{2}

bags of tortillas. How many days will

7\frac{1}{2}

bags of tortillas last?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_

days

Identify Total Amount: Step $1$ : Identify the total amount of tortillas and the daily usage. $\newline$ Total bags of tortillas: $7 \frac{1}{2}$ bags $\newline$ Daily usage of tortillas: $1 \frac{1}{2}$ bags $\newline$ We need to divide the total bags by the daily usage to find out how many days the tortillas will last.
Convert to Improper Fractions: Step $2$ : Convert mixed numbers to improper fractions for easier calculation. $\newline$ $7 \frac{1}{2} = (7\times2 + 1)/2 = \frac{15}{2}$ bags $\newline$ $1 \frac{1}{2} = (1\times2 + 1)/2 = \frac{3}{2}$ bags $\newline$ Now, divide $\frac{15}{2}$ by $\frac{3}{2}$ to find the number of days.
Perform Division of Fractions: Step $3$ : Perform the division of fractions. $\newline$ $(\frac{15}{2}) \div (\frac{3}{2}) = (\frac{15}{2}) \times (\frac{2}{3}) = \frac{30}{6} = 5$ $\newline$ So, $7 \frac{1}{2}$ bags of tortillas will last for $5$ days.