Question

Adam has $15$ of a certain type of rare coin and is interested in knowing how much this collection is worth. He discovers that $5$ of these coins are worth $12$ dollars in total. Assuming that the value of each coin is the same, how many dollars is his entire collection worth?

Answer 1

$36 is the correct answer.

Explanation:

Given that:

Adam has $15 of a certain type of rare coin.

$5 of this type of rare coins are equivalent to $12.

To find:

The total worth of $15 of rare coins = ?

If value of each coin is same.

Solution:

We are given that value of each coin is same.

So, We can simply use unitary method to find out the total worth of $15 of rare coins.

i.e. we first find out what is the worth of $1 of rare coins and then we find the worth of total required quantity.

Given that

$5 of rare coins are worthy of = $12

$1 of rare coins are worthy of =
`(12)/(5)`

$15 of rare coins are worthy of =

`\\(12)/(5)* 15\\\Rightarrow (12* 15)/(5)\\\Rightarrow 12* 3\\\Rightarrow \$36`

`\therefore` $15 of rare coins are worth of $36.