Question

Antonio has70 kg of cement and240 kg of sand and you want to prepare equal bags with the same proportion of cement and sand to store in the storage room, but you want to buy the minimum number of bags possible. How many bags should he buy?

Answer 1

The number of bags has to be a divisor of

70

already

240

and it has to be maximum. Therefore, your gcd.

We decompose the numbers:

70 = two ⋅ 5 ⋅ 7 240 = two 4 ⋅ 3 ⋅ 5

The common bases are two  Y 5  and its minor exponents are 1  Y 1 . Therefore,

m c d ( 70 , 240 ) = two 1 ⋅ 5 1 = 10

Must buy

10  sacks.

Each bag will have

7  kg of cement and

24  of sand.

Answer 2

Answer:Antonio has70 kg of cement and240 kg of sand and you want to prepare equal bags with the same proportion of cement and sand to store in the storage room, but you want to buy the minimum number of bags possible. How many bags should he buy?

Explanation: