Question 206860
A farmer has 252 kg of apples. The apples are put into 2 kg and 5 kg bags. If the farmer uses twice the number of 5 kg bags as 2 kg bags, how many bags are used altogether? 
:
Let x = no. of 5 kg bags
Let y = no. of 2 kg bags
;
"A farmer has 252 kg of apples. "
5x + 2y = 252
:
" twice the number of 5 kg bags as 2 kg bags,"
x = 2y
:
 how many bags are used altogether? 
:
Replace x with 2y in the 1st equation:
5(2y) + 2y = 252
:
A total of: 21 + 42 = 63
10y + 2y = 252
12y = 252
y = {{{252/12}}}
y = 21 ea 2 kg bag
then
2(21) = 42 ea 5 kg bags
;
Total: 42 + 21 = 63 bags
;
Check solution:
5(42) + 2(21) = 
210 + 42 = 252