This problem can be solved in 2 ways:
Method 1:
We have 0.2" bushel" = 1 doz = 2 kg
=> 0.2" bushel" = 2 kg
=> 1" bushel" = 2/0.2 kg=(2color(red)(0))/(0cancel(.)2) kg=20/2kg
=> 1" bushel" = 10 kg
=> 0.5" bushel" = 10xx0.5 kg
=> 0.5" bushel" = 5 kg
Method 2:
- First, we find the number of apples in 0.5 bushel.
We have,
0.20" bushel" = 1 " doz apples" = 12 " apples"
=>1" bushel"= 12/0.20
We need to get a 1 or a multiple of 10 in the denominator.
We know that 0.20 xx 5 = 1
Multiply the numberator and denominator by 5.
Then, (12xx5)/(0.20xx5)= 60/1
=>1" bushel"= 60 " apples"
=>0.5" bushel"= 60xx0.5=30
Therefore, color(red)(0.5 " bushel" = 30" apples"
- Next we calculate the mass of these apples:
Mass of 12 " apples" = 2 kg
Mass of 1 " apples" = 2/12 kg
Mass of 30 " apples" = (2xx30)/12 kg
= (2xxcancel30^color(red)(10))/cancel12^color(red)(4) kg
= (2xxcancel10^color(red)(5))/cancel4^color(red)(2) kg
= (cancel2xx5)/cancel2 kg
Mass of 30 " apples" = 5 kg