Question

A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions n and ​n, where n is the number of smaller​ boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger​ box?

Answer 1

10.5 small boxes equals the same amount of cereal in a large box

How to determine the value

From the information given, let:

n is the number of smaller boxes

We know that:

• 12 + 7.6n
• 6 + 8n

Then,

12 + 7.6n = 6 + 8n

collect like terms

8n - 7. 6n = 12 - 6

0. 4n = 6

n = 6/ 0. 4

n = 15

The amount of cereal in a large box is;

6 + 8n = 6 + 8 (15) = 126 ounces

The amount of cereal in the smaller box is 12 ounces

Divide the volume of the larger box by the volume of the smaller box;

= 126/ 12

= 10. 5 smaller boxes

Hence, 10.5 small boxes equals the same amount of cereal in a large box

The complete question:

A cereal box manufacturer changes the sizeof the box to increase the amount of cereal it contains. The equations 12 + 7.6n and 6 + 8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?

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brainly.com/question/13818690

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