Question

Janet has three coins.

Answer 1

Answer:

Janet has coins worth 252.5, 101, and 50.5.

Step-by-step explanation:

Let us call the three coins $a,b$, and $c$.

The first coin $a$ is 5 times another coin (let's say $b$); therefore,

$a = 5b$,

and the third coin is 2 times the value of another coin (it's coin $b$):

$c =2b$.

The total worth of all coins is 404; therefore,

$a+b+c =404$

or

$5b+b+2b =404$

$8b =404$

$\boxed{b = 50.5}$

with the value of $b$ in hand, we find $a$ and $c$:

$a = 5b = 5(50.5)$

$\boxed{a = 252.5}$

and for $c:$

$c = 2 b = 2 (50.5)$

$\boxed{c = 101}$

Thus, Janet has 3 coins worth 252.5, 101, and 50.5.