Question 1204628
Alyssa emptied out her change jar to buy a new binder for school.
 She found 147 coins consisting of dimes and nickels that totaled $11.65. 
 Write a system of equations to determine how many dimes, d, and how many nickels, n, Alyssa had in her change jar?
 Then solve the system of equations. 
:
let n - no. of nickels
let d = no. of dimes
Write an equation for each statement
" She found 147 coins consisting of dimes and nickels"
n + d = 147
 "that totaled $11.65."
.05n + .10d = 11.65
:
Two equations, multiply the 2nd one by 10
n + d = 147
.5n + 1d = 116.5 
------------------subtraction eliminates d, find n
.5n + 0 = 30.5
n = 30.5/.5
n = 61 nickels
:
find the dimes
147 - 61 = 86 dimes
:
:
Check in the 2nd original equation
.05(61) + .10(86) =
3.05 + 8.60 = 11.65