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 2 years ago
Solve using a system of equations:
There is a collection of nickels and dimes worth $3.30. There are 42 coins in all. How many are there of each kind?
 2 years ago
Solve using a system of equations: There is a collection of nickels and dimes worth $3.30. There are 42 coins in all. How many are there of each kind?

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AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.15n + 10d = 330 n + d = 42

liza2
 2 years ago
Best ResponseYou've already chosen the best response.0n is the number of nickels and d is the number of dimes.

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1so you gotta use the second equation to solve for d

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1or n, but i would do d

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1no, what you gotta do it find out what d is compared to n. so it's n + d = 42. what you do with that is subtract n from both sides to get d = 42  n

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1and then you can substitute 42  n for d in the first equation

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1so 5n + 10d = 330 would be 5n + 10(42  n) = 330. is this making sense?

El_Pollo
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, but we have to have a system of equations

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1the first thing i posted was our system of equations

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1so do you know what to do from there? from 5n + 10(42  n) = 330?

El_Pollo
 2 years ago
Best ResponseYou've already chosen the best response.0so just distribute and then solve from there?

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1yea, distribute the 10 into the parentheses and then solve for n and once you know how many nickels there are, just substitute that for n in the second equation and solve for d

El_Pollo
 2 years ago
Best ResponseYou've already chosen the best response.0yes i see were i made my mistake i forgot the negative sign

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1so now we know that 18 + d = 42 and we can solve for d

El_Pollo
 2 years ago
Best ResponseYou've already chosen the best response.0right plug in 18 in the n part

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1yup, so how many dimes are there?

AriPotta
 2 years ago
Best ResponseYou've already chosen the best response.1yep :) 24 dimes and 18 nickels
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