If .20 bushel is 1 dozen apples and a dozen apples has a mass of 2.0 kg, what is the mass of 0.50 bushel of apples?

1 Answer
May 17, 2016

Mass of 0.5 bushel of apples = 5 kg

Explanation:

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