/sci/ - Science & Math

[Anonymous No.5592764]

A girl nds $1.05 in dimes, nickels and pennies. If there are 17 coins in all, how many
coins of each type can she have?
You should be able to solve this.

[Anonymous No.5592768]

n_dime+n_nickel+n_penny= 17
n_dime*value_dime+n_nickel*value_nickel+n_penny*value_penny= 1.05

there are infinite solutions to this system, the thing is finding those that give you a natural number for n_dime, n_nickel and n_penny

[Anonymous No.5592770]

>>5592768
if there is such solution, good.
If there isnt, it can't be solved unless you are chopping your coins

[Anonymous No.5592775]

>>5592764
number of dime=D, Nickel=N and pennies are P... we also know that two nickles equals one dime

Now, P+D+N=17(*)

And we know that one penny is x=0,01, nickel=0,05 and the dime=0,10

Now we get:

0,01P+0,05N+0,2N=1,05
and we get 0,01P+0,25N=1,05.... also using you solve this by not being lazy like me and finishing it off.

[butthurt scavenger !!W3G3jdIwCDC No.5592774]

13 nickels
4 dimes

[Anonymous No.5592781]

>>5592775
and yeah it has infinite solutions, you get a function I think

[Anonymous No.5592832]

>>5592781
>and yeah it has infinite solutions

not unless youre cutting coins in half

[Anonymous No.5592836]

>>5592832
sorry, not infinite.. I'm kind of realizing this is more complex than I thought

[Anonymous No.5592850]

>people on /sci/ don't even know what a basis is.
>/sci/ can't into modulation
Jesus Christ
4 dimes,13 nickels
>der are infinite solutions!
only in the reals, faggots
hint:
You should end up with two equations
(9/4)d+n=22
p=17-d-n
d(dimes) can only be equal to 0,4, and 8. Only one of these have a solution.

[Anonymous No.5592866]

>>5592850
There are two solutions:
4 dimes, 13 nickels
and
8 dimes, 4 nickles, 5 pennies