Question

A florist arranges 4 flower arrangements in 92 minutes.

At this rate, how many many flower arrangements are made in 207 mintues?

Enter your answer in the box.

Answer 1

`\boxed {\boxed {\sf 9 \ arrangements }}`

Explanation:

Let's set up a proportion using the following setup:

`(arrangements)/(minutes) =(arrangements)/(minutes)`

We know that the florist can arrange 4 in 92 minutes.

`(4 \ arrangements)/(92 \ minutes) = (arrangements)/(minutes)`

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

`(4 \ arrangements)/(92 \ minutes) = ( x \ arrangements)/( 207 \ minutes)`

`(4)/(92) =(x)/(207)`

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

`207*(4)/(92)=(x)/(207)*207`

`207*(4)/(92)=x`

`207*0.0434782609=x`

`9=x`

The florist can arrange 9 arrangements in 207 minutes.