10.5 small boxes equals the same amount of cereal in a large box
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How to determine the value</h3>
From the information given, let:
n is the number of smaller boxes
We know that:
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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