SOLUTION: 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? (A)

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?
(A) 21 (B) 42 (C) 56 (D) 63 (E) 70
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
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
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