SOLUTION: I have 28 coins in my pocket, they are all either nickels and dimes. There are eight more nickels than dimes. The value of these coins is 1.90. How many nickels? How many answers s

Question 186637: I have 28 coins in my pocket, they are all either nickels and dimes. There are eight more nickels than dimes. The value of these coins is 1.90. How many nickels? How many answers should I have?Define my variable, define in terms? Translate this information into an equation? Thank You guys you all are life savers in my class.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I have 28 coins in my pocket, they are all either nickels and dimes. There are eight more nickels than dimes. The value of these coins is 1.90. How many nickels? How many answers should I have?Define my variable, define in terms? Translate this information into an equation? Thank You guys you all are life savers in my class.
.
Let d = number of dimes
and n = number of nickels
.
Since we have two unknowns, we'll need two equations.
.
from "I have 28 coins in my pocket"
n+d = 28 (equation 1)
from "There are eight more nickels than dimes." we get:
n = d+8 (equation 2)
.
Solve equation 1 for 'd':
n+d = 28
d = 28-n
.
Substitute the above into equation 2 and solve for n:
n = d+8
n = 28-n+8
2n = 28+8
2n = 36
n = 18 (number of nickels)
.

RELATED QUESTIONS
I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. (answered by stanbon)

Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75.... (answered by josgarithmetic)

Joey has 24 coins in his pocket. The coins are all nickels and dimes. The total value of... (answered by ikleyn)

I have $5.50 total in my pocket, consisting of nickels, dimes and quarters. There are 30... (answered by Edwin McCravy)

I have some change (pennies, nickels, and dimes) in my pocket. Fourteen of the coins are... (answered by ankor@dixie-net.com,MathTherapy)

I have 12 coins in my pocket all worth $1. All of which are nickels,dimes, and quarters.... (answered by josmiceli)

In Anna's pocket, there is $16.20 in quarters, nickels, and dimes. In all, there are 97... (answered by ankor@dixie-net.com)

A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)

You have a mixture of dimes,quarters and nickels in your pocket. There are twice as many... (answered by advanced_Learner)