Answer:
The product of (30 gallons 3 quarts 1 pint) × 5 = 151.875 gallons.
Step-by-step explanation:
Given : (30 gallons 3 quarts 1 pint) × 5
To find : The product of given statement
Solution:
Step 1 : We multiply each term by 5
[tex]30 \text{ gallons }=30 \times 5=150 \text{ gallons}[/tex]
[tex]3 \text{ quarts }=3\times 5=15 \text{ quarts}[/tex]
[tex]1 \text{ pints }=1\times 5=5 \text{ pints}[/tex]
Step 2: Now we convert into similar unit
we know, 1 gallon=4 quarts
1 gallon= 8 pints
1 quart= 2 pints
1) we convert quarts in to gallon
[tex]1 \text{ quarts }=\frac{1}{4} \text{ gallons}[/tex]
[tex]15 \text{ quarts }=\frac{15}{4} \text{ gallons}[/tex]
2) we convert pints into quarts
[tex]1 \text{ pint }=\frac{1}{2} \text{ quarts}[/tex]
[tex]5\text{ quarts }=\frac{5}{2} \text{ quarts }[/tex]
3) Again convert quarts into gallon
[tex]1 \text{ quarts }=\frac{1}{4} \text{ gallons}[/tex]
[tex]\frac{5}{2}\text{ quarts }=\frac{\frac{5}{2}}{4} \text{ gallons}[/tex]
[tex]\frac{5}{2}\text{ quarts }=\frac{5}{8} \text{ gallons}[/tex]
Total gallons in (30 gallons 3 quarts 1 pint)
[tex]=150+\frac{5}{4}+\frac{5}{8}[/tex] gallons
[tex]=\frac{1200+10+5}{8}[/tex] gallons
[tex]=\frac{1215}{8}[/tex] gallons
[tex]=151.875[/tex] gallons
Therefore, The product of (30 gallons 3 quarts 1 pint) × 5 = 151.875 gallons.
