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El_Pollo
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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
 2 years ago
El_Pollo Group Title
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
 2 years ago

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AriPotta Group TitleBest ResponseYou've already chosen the best response.1
5n + 10d = 330 n + d = 42
 2 years ago

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

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

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

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
so what does d equal?
 2 years ago

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
no, 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
 2 years ago

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

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

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

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

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
now we're solving it
 2 years ago

El_Pollo Group TitleBest ResponseYou've already chosen the best response.0
Oh right sorry
 2 years ago

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

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

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
yea, 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
 2 years ago

El_Pollo Group TitleBest ResponseYou've already chosen the best response.0
i get a negative
 2 years ago

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
dw:1349754629184:dw
 2 years ago

AriPotta Group TitleBest ResponseYou've already chosen the best response.1
does that make sense?
 2 years ago

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

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

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

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

El_Pollo Group TitleBest ResponseYou've already chosen the best response.0
there's 24
 2 years ago

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