Question

James had a peach that was 98mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm in diameter. Approximately how many times as large did the diameter of the peach become after James watered it?

Answer 1

We know that 98mm is the 100% of the diameter of the plant before James watered with the magical solution; after he watered, the diameter of the plant grew to 188.869mm. Let
`x` be the grew in the percentage of the diameter.
Now we can establish a ratio and solve for
`x`:

`(98)/(100) = (188.869)/(x)`

`x= ((188.869)(100))/(98)`

`x=192.7` %
Now that we know the diameter of the plant grew 192.7%, we just need to divide that quantity by 100% to find how many times the diameter grew:

`(192.7)/(100) =1.927`

We can conclude that the diameter of the peach become approximately 1.9 times larger after James watered it.