Question

A farmer grows 252 kg of apples. He packs them in boxes of 5 kg and 2 kg. If he uses the same number of boxes of 5 kg and 2 kg. How many boxes did he use in all ?

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Answer 1

Answer:

252

Step-by-step explanation:

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%2F12

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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Answer 2

Step-by-step explanation:

A farmer has apples = 252kg

No. of boxes of 5kg and 2kg is equal.

Let the no. of boxes be x is of 5kg and x of 2kg.

So;

By equation:

5x +2x = 252

7x = 252

x = 252/7

x = 36

Because no. of boxes is used equally in 5kg and 2kg.

Hence; the total no. of boxes used is 2x= 2 × 36

the total no. of boxes used is 72.