Question

Kyla is filling a water bucket that holds 5 and 1/4 gallons using a container that holds 3/4 of a gallon per container (a) Create a division problem that finds how many containers Kyla will need to use. Evaluate this quotient(b) Check your answer to (a) by using a product. Show your work

Answer 1

Given a water bucket that holds

`5(1)/(4)gallons`

A container with the measurement below was used to fill the water bucket

`(3)/(4)\text{gallon}`

(a) The division problem that shows how many containers are needed to fill the water bucket is

`(5(1)/(4))/((3)/(4))`

The quotient is as solved below:

`5(1)/(4)=(5*4+1)/(4)=(21)/(4)`
`\begin{gathered} (5(1)/(4))/((3)/(4))=((21)/(4))/((3)/(4)) \\ (21)/(4)(\square)/(\square)(3)/(4) \\ =(21)/(4)*(4)/(3) \end{gathered}`
`(7*1)/(1*1)=7`

Hence, the quotient is 7 Containers

(b) Checking the answer using a product as shown below

`\begin{gathered} 7*(3)/(4)=5(1)/(4) \\ (7*3)/(4)=(21)/(4) \end{gathered}`
`(21)/(4)=5(1)/(4)`

Hence, the product of 7 and 3/4 gallons container will fill 5 1/4 water bucket