Question

You are filling bottles from 5 gallons of lemonade. How many bottles can you fill when each bottle is 3/8 of a gallon?

Answer 1

Answer:

$13\frac{1}{3}$  bottles.

Step-by-step explanation:

We have been given that you are filling bottles from 5 gallons of lemonade. We are asked to find the number of bottles each holding 3/8 of a gallon that can be filled from 5 gallons of lemonade.

To find the number of bottles, we will divide 5 by 3/8 as:

$\text{Number of 3/8 gallon bottles}=5\div \frac{3}{8}$

$\text{Number of 3/8 gallon bottles}=\frac{5}{1}\div \frac{3}{8}$

Convert to multiply problem by flipping the 2nd fraction:

$\text{Number of 3/8 gallon bottles}=\frac{5}{1}\times \frac{8}{3}$

$\text{Number of 3/8 gallon bottles}=\frac{5\times 8}{1\times 3}$

$\text{Number of 3/8 gallon bottles}=\frac{40}{3}$

$\text{Number of 3/8 gallon bottles}=13\frac{1}{3}$

Therefore, $13\frac{1}{3}$ bottles of lemonade can be filled.

Answer 2

5 gallons and each bottle is 3/8

8 times 5 equals 40

sooo =(total parts of the gallon being cut into eighths) 40/8

Now count by 3's to try to get as close as 40 :

3/8= 1 bottle

6/8= 2 bottles

9/8= 3 bottles

12/8= 4 bottles

15/8= 5 bottles

18/8= 6 bottles

21/8= 7 bottles

24/8= 8 bottles

27/8= 9 bottles

30/8=10 bottles

33/8= 11 bottles

36/8=12 bottles

39/8= 13 bottles

Answer: 13 bottles can be filled with 1/8 being left over