Question

A market sells 6 cans of food for every 7 boxes of food. the market sold a total of 26 cans and boxes today. how many of each kind did the market sell? 6 cans and 20 boxes 12 cans and 14 boxes 14 cans and 12 boxes 20 cans and 6 boxes

Answer 1

12 cans and 14 boxes is the answer

Answer 2

Answer: The market sells 12 cans and 14 boxes of food.

Step-by-step explanation: Given that a market sells 6 cans of food for every 7 boxes of food and a total of 26 and boxes are sold today.

We are to find the number of cans and boxes that the market sells.

Let x and y represents the number of cans and boxes respectively sold by the market.

Then, according to the given information, we have

`(x)/(y)=(6)/(7)\\\\\Rightarrow x=(6)/(7)y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

and

`x+y=26\\\\\Rightarrow (6)/(7)y+y=26~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uing equation (i)}]\\\\\Rightarrow (6y+7y)/(7)=26\\\\\Rightarrow 13y=7*26\\\\\Rightarrow y=(7*26)/(13)\\\\\Rightarrow y=14.`

From equation (i), we get

`x=(6)/(7)*14=6*2=12.`

Thus, the market sells 12 cans and 14 boxes of food.