Question

4) How long will Lourdes have to wait for her plant to grow a total 14 1/4 inches

Answer 1

10
`(5)/(28)` days

Explanation:

There are a lot of places to make mistakes, but I think that I am good.

Make a proportion:

`(Days)/(Inches)` =
`(Days)/(Inches)` Put in the three number that you know and solve for the number of days.

`(7(13)/(21) )/(10(2)/(3) )` =
`(x)/(14(1)/(4) )` Cross multiply and solve for x

10
`(2)/(3)` x =
`7(13)/(21)`(
`14(1)/(4)`) Change everything into improper fractions

`(32)/(3)`x = (
`(160)/(21)`)
`(57)/(4)` I am going to cross cancel the 160 and 4 They both can be divided by 4 and I am going to cross cancel the 21 and 57. They are both divisible by 3

`(32)/(3)` x =(
`(40)/(7)`)
`(19)/(1)`

`(32)/(3)` x =
`(760)/(7)` Multiply both sides by
`(3)/(32)`

(
`(3)/(32)`)
`(32)/(3)`x =(
`(3)/(32)`)
`(760)/(7)` I can cross cancel 32 and 760. They both can be divided by 8

x = (
`(3)/(4)`)
`(95)/(7)`

x =
`(285)/(28)`

x = 10
`(5)/(28)` Days