Question

Quin made three and four sevenths jugs of sweet tea. She sold two and one third jugs at her sweet tea stand. How much sweet tea does Quin have left?

Answer 1

Answer:
`(23)/(21)\ \text{Jugs of tea}`

Explanation:

Given

Quin made three and four seventh jugs of sweet tea i.e.
`3 (4)/(7)=(3* 7+4)/(7)=(25)/(7)\ jugs`

She sold two and one-third jugs i.e.
`2 (1)/(3)=(2* 3+1)/(3)=(7)/(3)\ jugs`

Remaining tea=
`(25)/(7)-(7)/(3)=(24* 3-7* 7)/(21)\\`

`=(72-49)/(21)=(23)/(21)\ \text{Jugs of tea}`