SOLUTION: Joe has a collection of nickles and dimes that is worth $8.55. If the number of dimes is tripled and the number of nickles is decreased by 2, the value of the coins would be $23.45

Algebra.Com
Question 410157: Joe has a collection of nickles and dimes that is worth $8.55. If the number of dimes is tripled and the number of nickles is decreased by 2, the value of the coins would be $23.45. how many nickles and dimes does he have. Please show your work.
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
"Joe has a collection of nickles and dimes that is worth $8.55" ___ 5n + 10d = 855

" If the number of dimes is tripled and the number of nickles is decreased by 2, the value of the coins would be $23.45"
___ 5(n-2) + 10(3d) = 2345

5n - 10 + 30d = 2345

5n + 30d = 2355

subtracting 1st equation ___ 5n + 30d - (5n + 10d) = 2355 - (855)

20d = 1500

solve for d and substitute the value into any of the equations to find n

RELATED QUESTIONS

Joe has a collection of nickels and dimes that is worth $9.6.If the the number of dimes... (answered by scott8148)
Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes... (answered by stanbon)
Joe has a collection of nickles and dimes that is worth $6.05. If the number of dimes... (answered by josmiceli)
I need help with a word problem. This is what I have so far: Joe has a collection of... (answered by solver91311)
Can someone please walk me through the steps to better understand this problem? Thank you (answered by josmiceli)
Joe has a collection of nickels and dimes that is worth $9.60. If the number of dimes was (answered by ankor@dixie-net.com)
Joe has a collection of nickels and dimes that is worth $8.55. If the number of dimes was (answered by stanbon)
Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was (answered by rapaljer)
Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was (answered by edjones)