The price of grapes at the grocery store is $1.44 per pound. there are approximately 0.45 kilograms in a pound. to the nearest cent, what is the price of grapes in dollars per kilogram? $0.65 per kilogram $0.99 per kilogram $1.89 per kilogram $3.20 per kilogram

Use dimensional analysis to convert pounds to kg.  Set up like this: .  The pounds label cancels out leaving us with dollars per kg, which is what we want.  The math tells us that we are dividing 1.44 by .45 and that gives us $3.20 per kg, last choice above.

For this case we have the following conversion:
 
 We must then apply the conversion given to the price of the grapes.
 To do this, multiply the price per pound by the conversion factor from 1 pound to kilograms.
 We have then:
 
 Doing the calculations and canceling similar units we have:
 
 
 the price of grapes in dollars per kilogram is:
 $3.20 per kilogram

Step 1: 6x-10=1; step 2: 6x=11