Question

The chocolate factory is preparing a delivery of Valentine's chocolate boxes. In a single container they can fit eight large chocolate boxes or ten small chocolate boxes. They send ninety-six chocolate boxes in one day using more large boxes than small ones. How many containers did they use?

Answer 1

twelve large boxes containers

Answer 2

Answer: There are 10 containers used to send the 96 chocolate boxes.

Let's assume that the number of large chocolate boxes sent in a day is x and the number of small chocolate boxes is y. We know that x is greater than y, and we also know that the total number of chocolate boxes sent in a day is 96.

So we can write two equations based on the information given:

                   x + y = 96 (total number of chocolate boxes sent in a day)

                  8x + 10y = c (c is the total number of chocolate boxes that can fit in the containers, which we don't know yet)

We need to find out how many containers were used, which means we need to find the value of c.

To solve for c, we can use the second equation and simplify it by dividing both sides by 2:

                              4x + 5y = c/2

Now we can see that c/2 is a multiple of 5, which means it must end in a 0 or a 5. But we also know that c must be the smallest multiple of 8 that satisfies this condition.

Let's start by finding the smallest multiple of 8 that ends in a 0 or a 5. The first few multiples of 8 are:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, ...

We can see that the smallest multiple of 8 that ends in a 0 or a 5 is 40.

So we can substitute c = 40 into the second equation and solve for x:

                           8x + 10y = 40

                           4x + 5y = 20

Multiplying both sides of the second equation by 2, we get:

                          8x + 10y = 40

This is the same as the first equation, which means that x = 16 and y = 80.

So the number of large chocolate boxes is 16 and the number of small chocolate boxes is 80. To calculate the number of containers used, we need to find out how many times 8 goes into 16 and how many times 10 goes into 80.

16 divided by 8 is 2, so there are 2 large chocolate boxes in each container.

80 divided by 10 is 8, so there are 8 small chocolate boxes in each container.

So in total, there are 10 containers used to send the 96 chocolate boxes.

Learn more about the system of equations here

https://brainly.in/question/11069599

Learn more about factories here

https://brainly.in/question/16075831

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