High School

A supermarket sells tuna in 90 g and 200 g tins. In one day, 112 tins of tuna were sold, with a total mass of 18 kg. How many tins of each type were sold?

Answer :

Final answer:

A supermarket sells tuna in 90 g and 200 g tins. In one day, 112 tins of tuna sold, with a total mass of 18 kg. 40 tins of 90 g and 72 tins of 200 g were sold.

Explanation:

Let's start by assigning variables to the number of 90 g tins and 200 g tins sold. Let's call the number of 90 g tins 'x' and the number of 200 g tins 'y'.

We know that the total mass of the tins sold is 18 kg or 18,000 g. From the information given, we can form the equation: 90x + 200y = 18,000.

We also know that 112 tins were sold in total, so we have the equation: x + y = 112.

Solving these two equations simultaneously, we can find the values of x and y.

Let's multiply the second equation by 90:

90x + 90y = 10,080

Subtracting this equation from the first equation, we get:

110y = 7,920

Dividing both sides by 110, we find that y = 72.

Substituting this value back into the second equation, we find that x = 40.

Therefore, 40 tins of 90 g and 72 tins of 200 g were sold.

Learn more about the topic of tins of tuna sold here: brainly.com/question/32629357

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