Question

If a gallon of chocolate milkshake requires $1.75$ liters of chocolate syrup, then how many gallons of such milkshake can be made from $5.25$ liters of chocolate syrup?

• A. $\frac{3}{8}$ gallons
• B. $8$ gallons
• C. $3$ gallons
• D. $\frac{1}{7}$ gallons

Answer 1

The correct option is C $3$ gallons

The amount of syrup required to make a gallon of chocolate milkshake $=1.75=\frac{175}{100}=\frac{7}{4}\text{liters}$
The total amount of syrup used $=5.25\text{liters}$
$5.25=\frac{525}{100}=\frac{21}{4}$

Number of gallons of milkshake that can be made from $1$ liter of syrup (unit rate)

$=\frac{\text{Total amount of syrup used}}{\text{Amount of milkshake (in gallons)}}$

$=\frac{21}{4}÷\frac{7}{4}$

$=\frac{21}{4}÷\frac{4}{7}$

$=3\text{gallons}$