a blanket pattern needs to be modified

Question

A crotchet blanket pattern needs to be modified.

 

If 19 balls of yarn, weighing 100g each, totals 98.7552 Meters with a cost of $6, makes up a blanket sized 117 x 102cm,

 

How many balls of wool are needed to make a blanket sized 180 x 150cm?  How many meters are needed, how many kilos and at what total price?

 

 

Answer 1

First blanket: 117cm x 102cm = 11934cm²

Second blanket: 180cm x 150cm = 27000cm²

b represents balls of yarn needed

19 : 11934 :: b : 27000     proportion

11934b = (19)(27000)       product means/extremes

 

Solve for b, then calculate weight and cost.