The price of peeled oranges

Question

The peel of an oorange weighs about 1/6 the mass of the whole orange. The cost of six oranges is $4.80. All the oranges were peeled and the fruit was found to weigh 1.6kg. What was the price per kilogram of the peeled oranges?

Answer 1

After being peeled the oranges weigh 1.6kg

 

Prior to being peeled they weighed 1 1/6 as much

or (7/6)(1.6) = 

(7/6)(1 6/10)

(7/6)(1 3/5)

(7/6)(8/5)

(56/30)

1 13/15

28/15 kg

 

$/kg = 4.8/(28/15)

= 4.8(15/28)

= $2.57 per kg