Afood bank has 50 cans of vegetables, 30 loaves of bread, and 100 bottles of water. the volunteers will put the items into boxes. each box will have the same number of food items and all the items in the box will be the same type. how many items can they put in each box? explain

Answer

Each box have 10 number of food items and all the items in the box will be the same type

Explanation

It is given that,

A food bank has 50 cans of vegetables,

30 loaves of bread, and 100 bottles of water.  

The volunteers will put the items into boxes.  

The conditions are Each box will have the same number of food items and all the items in the box will be the same type.  

So we have to find the  HCF of 50,30 and 100

HCF ( 50, 30, 100) = 10  

Each box will have the same 10 food items  

The second condition says that,all the items in the box will be the same type.  

So, 50 cans of vegetables, can be put into 5 boxes with 10 numbers each

30 loaves of bread can be put into 3 boxes with 10 numbers each and  

100 bottles of water can be put into 10 boxes with 10 numbers each and

Therefore each box have 10 number of food items and all the items in the box will be the same type

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