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aliya0001 [1]
3 years ago
8

Three aluminum cans can be recycled to make a new can. How many new cans can eventually be made from 243 aluminum cans? (Remembe

r that the first new cans that are made can then be recycled into even newer cans!) Do not include the original 243 cans in your count.
Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

121 new cans can eventually be made from 243 aluminum cans

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 2 miles per second or 5 kilometer per hour.

As per the statement:

Three aluminum cans can be recycled to make a new can.

Unit rate per aluminium can = \frac{1}{3} new can

We have to find the new cans can eventually be made from 243 aluminum cans.

By definition of unit rate;

\text{Number of new cans made from 243 cans} = \text{Unit rate per aluminium can} \times 243

Substitute the given values we have;

\text{Number of new cans made from 243 cans} = \frac{1}{3} \times 243 = 81

Again do the same process:

Number of new can made from 81 can  is \frac{1}{3} \cdot 81 = 27

Similarly,

Number of new cans made from 27 can = \frac{1}{3} \cdot 27 = 9

Number of new cans made from 9 can =\frac{1}{3} \cdot 9 = 3

Number of new cans made from 3 can =  \frac{1}{3} \cdot 3 = 1

Now, No further new can made.

Therefore, total new can made from 243 is 81+27+9+3+ 1 =121 cans

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