HELP!!! I need help writing the equation to the following: nickles and dimes equal $5.65. If dimes are doubled and nickels increased by 8, the total would be $10.45. How many dimes in $5.65? THANKS!

Question

hartnn · Answer

n = no. of dimes
d = no. of nickels
:nickles and dimes equal $5.65. 
Write an equation for each statement
:
.05n + .10d = 5.65----->(1)
;
"If the number of dimes were doubled and the number of nickels were increased by 8,the value of the coins would be $10.45."
.05(n+8) + .10(2d) = 10.45
.05n + .40 + .20d = 10.45
.05n + .20d = 10.45 - .40
.05n + .20d = 10.05------>(2)
:

 
Multiply the 1st equation by 2, subtract the above equation from it:
.10n + .20d = 11.30
.05n + .20d = 10.05
---------------------subtraction eliminates d
.05n = 1.25
n = 
n = 25 nickels 
:
How many dimes does he have?
:
Use the 1st equation to find d, substitute 25 for n
.05(25) + .10d = 5.65
1.25 + .10d = 5.65
.10d = 5.65 - 1.25
.10d = 4.40
d = 
d = 44 dimes

anonymous · Answer

I was soooooo far off, you have made my day much easier. I have more, do you have time?