Question

It takes Evan 6 3/4 to mow 3 lawns. It takes 2 1/3 hours to mow me. Gals lawn and 1 3/4 hot mow Ms. Lee’s lawn. How many hours does it take Evan to mow the third lawn?

Answer 1

It takes Evan
`2(2)/(3)\ hours` to mow the third lawn

Explanation:

Given that:

• It takes Evan 6 3/4 to mow 3 lawns

<=>
`6(3)/(4)=(27)/(4)\ \text{hours}`

• It takes 2 1/3 hours to mow Mr. Gals lawn (first lawn)

<=>
`2(1)/(3)=(7)/(3)\ \text{hours}`

• It takes 1 3/4 hot mow Ms. Lee’s lawn (second lawn)

<=>
`1(3)/(4)=(7)/(4)\ \text{hours}`

Now,Time taken by Evan to mow the third lawn

`=(27)/(4)-(7)/(3)-(7)/(4)`

=
`(81-28-21)/(12)`

=
`(32)/(12) = (8)/(3)`

=
`2(2)/(3)\ hours`

It takes Evan
`2(2)/(3)\ hours` to mow the third lawn

Answer 2

It takes 2 2/3 hours Evan to mow the third lawn

Explanation:

Hours: t

`t=6(3)/(4)-2(1)/(3)-1(3)/(4)\\ t=(6(4)+3)/(4)-(2(3)+1)/(3)-(1(4)+3)/(4)\\ t=(24+3)/(4)-(6+1)/(3)-(4+7)/(4)\\ t=(27)/(4)-(7)/(3)-(7)/(4)\\ t=(27)/(4)-(7)/(4)-(7)/(3)\\ t=(27-7)/(4)-(7)/(3)\\ t=(20)/(4)-(7)/(3)\\ t=5-(7)/(3)\\ t=5.(3)/(3)-(7)/(3)\\ t=(5(3))/(3)-(7)/(3)\\ t=(15)/(3)-(7)/(3)\\ t=(15-7)/(3)\\ t=(8)/(3)\\ t=(6+2)/(3)\\ t=(6)/(3)+(2)/(3)`

`t=2+(2)/(3)\\ t=2(2)/(3)`