There are 4 cups in a quart and 4 quarts in a gallon. How many cups are in a 5 gallon jug

Question

I need to see the work please 

Answer 1

It is very important to understand that the multiplicative identity (that is, 1) may change the units but not the value.

 

So, let's start with:

             5 gallon

             (5 gallon) * 1 * 1

             (5 gallon) * (4 quarts / 1 gallon) * 1                       [note:  4 quarts = 1 gallon]

             (5 gallon) * (4 quarts / 1 gallon) * (4 cups / 1 quart)

             (5*4*4) cups                       [note: gallons and quarts cancel out, leaving cups]

             80 cups

Answer 2

Hi La'tina, 4 cups in a quart and 4 quarts in a gallon. Multiply the number of cups in a quart by the number of quarts in a gallon. This gives the number of cups in a gallon. To get the number of cups in a 5 gallon jug, multiply the number of cups in a gallon by 5.

 

Let TC be the number of cups in a gallon.

 

TC = 4 * 4 = 16, or there are 16 cups in each gallon.

 

Let T be the number of cups in 5 gallons.

 

T = TC * 5 = 16 * 5 = 80, or the total number of cups in 5 gallons is 80.

Answer 3

Hi La'tina,

 

If there are 4 cups in a quart and 4 quarts in a gallon, then there must be 16 cups in a gallon. . . 4 x 4 = 16

 

In 2 gallons there would be 16 x 2 = 32 cups

 

In 3 gallons there would be 16 x 3 = 48 cups

 

So how many cups are there in 5 gallons?

 

Have fun.

 

Dan