A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 14+6.6n and 10+7.1n, 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?

The larger box of cereal has as much cereal as ? Smaller boxes

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AFOKE88 AFOKE88 · Answer 1 · 2022-08-16T20:57:38+02:00

The larger box of cereal has as much cereal as 8 Smaller boxes.

We are given that a cereal box manufacturer changes the size of the box to increase the amount of cereal it contains.

Since 14 + 6.6n and 10 + 7.1n both represent the amount of cereal in a large box;

where;

n is the number of small boxes, then;

14 + 6.6n = 10 + 7.1n.

Solve this equation for n gives;

Subtract 6.6n from both sides using subtraction property of equality to get; 14 = 10 + 0.5n

Subtract 10 from both sides using subtraction property of equality to get;

4 = 0.5n

n = 4/0.5

n = 8

Thus, the number of smaller boxes that would make up the larger box of Cereal is 8 boxes.

Thus we conclude that the larger box of cereal has as much cereal as 8 Smaller boxes.

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