Question

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches

Answer 1

Sent a picture of the solution to the problem (s). When two things are being compared, it is best to set up a proportion.

Answer 2

5 weeks 2 days

Explanation:

A certain plant grows every week =
`1(1)/(6)` =
`(7)/(6)` inches

1 week = 7 days

Therefore in 1 day the plant grows =
`((7)/(6))/(7)`

=
`(1)/(6)` inch

Now we have to calculate number of days in which the plant grows
`6(1)/(6)` inches ≈
`(37)/(6)` inch

Number of days =
`\frac{\text{Total growth}}{\text{Growth in one day}}`

=
`(37)/(6)` ÷
`(1)/(6)`

=
`(37)/(6)` × 6

= 37 days ≈ 5 weeks and 2 days

It will take the plant 5 weeks 2 days to grow
`6(1)/(6)` inches.