Q36. - Algebra 1

Question

Joseph is mixing $5\frac{1}{2}$ gallons of orange drink for his class picnic. $\frac{1}{2}$ Every gallon requires 1 packet of orange drink mix. How many packets of orange drink mix does Joseph need?

Step-by-Step Solution

Answer

Required packets of orange drinks are 11.

Step 1. The total amount of gallon of orange drink does Joseph has.

$\begin{array}{l}=5\frac{1}{2}\text{\hspace{0.17em} gallon}\\ \text{=}\frac{11}{2}\text{\hspace{0.17em} gallon}\end{array}$

Step 2. Find the number of packets of orange drink required for 1 gallon.

$\frac{1}{2}$ gallon orange drink required packets = 1

1-gallon orange drink required packets $=\frac{1}{\left(\frac{1}{2}\right)}$

1-gallon orange drink required packets =2 packets

Step 3. Calculate the total amount of packets required for 11/2 gallons.

$\begin{array}{l}\text{1\hspace{0.33em} gallons orange drink required packets}=2\text{ packets}\\ \frac{11}{2}\text{\hspace{0.17em} gallons orange drink required packets}=2\times \frac{11}{2}\\ \frac{11}{2}\text{\hspace{0.17em} gallons orange drink required packets}=11\text{\hspace{0.17em} packets}\end{array}$

Therefore, 11 packets of orange drink required.