Question

. Joe has a collection of nickels and dimes that is worth $2.15. If the number of dimes was doubled and the number of nickels was increased by 28, the value of the coins would be $4.65. How many nickels and dimes does he have?

Answer 1

how much do the additional 28 nickels amount to?

Answer 2

it says tha the value of the coins would be $4.65

Answer 3

$2.90

Answer 4

yes. but when the number of coins were increased, the number of nickels increased by 28.

so 28*5=140 cents =$1.40

the total went up from 2.15 to 4.65. that's a difference of 2.50. but we already said tthat 1.40 of the 2.50 is attributable to the nickels. so 1.10 must be atributable to the additional dimes. so that's 11 more dimes. so if the number of dimes had been doubled, then the number of dimes went from 11 to 22. so he's got 22dimes and now we nee to know the original number of nickels. the original number of dimes (11) amouted to 1.10. so the original number of nickels amoounted to 1.05 or 25 nickels. we added 28 to 25 so he now has 53 nickels.

Answer 5

are you with me?

Answer 6

yes, I was just reading trying to follow

Answer 7

I am still confused

Answer 8

look. the total amount went from 2.15 to 4.65. that's an increase of 2.50. are you ok with that?

Answer 9

yes

Answer 10

good. now we are told that the number of nickels increased by 28. that's 1.40.
are you ok with that?

Answer 11

ok got that

Answer 12

so, of the 2.50 increase, 1.40 is attributable to the increase in nickels. so 1.10 must be attributable to the increase in dimes.
ok with that?

Answer 13

yes

Answer 14

good. so the number of dimes that add up to 1.10 is 11. ok?

Answer 15

got that yep

Answer 16

so the dimes increased by 11 and the nickels increase by 28. now if we only knew how many we started with we would know what he has now. ok?

Answer 17

ok, let me look at the problem once more, hang on.

Answer 18

ok

Answer 19

so i posted it exactly like it is stated, so how do we get that exact amount?

Answer 20

well, the question states that the number of dimes was doubled. well, we alredy said the number of dimes increased by 11. if 11 is doubling what he already had then he started with 11 dimes.

ok?

Answer 21

oh yeah thats right, =22

Answer 22

so he started with 11 dimes which is 1.10. the original total amount was 2.15. so 2.15 less the dimes or 1.10 ewuals 1.05 of nickels.
ok?

Answer 23

yes got that

Answer 24

so that's 21 nickels and it was increased by 28. so he now has 49 nickels and 22 dimes. ok?

i know that there was an addition error in my previous explanation and for that I apologize.

Answer 25

np

Answer 26

Thank you for breaking this down so I could understand it.

Answer 27

np