SOLUTION: Phil had 50 nickels and dimes worth $4.15. How many dimes does he have.

Question 563498: Phil had 50 nickels and dimes worth $4.15. How many dimes does he have.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Total worth = $4.15 = 4.15*100 = 415 cents
Total Coins = 50
Total Dimes = x
Total Nickel = 50-x
One Dime = d = 10 cents
One Nickel = n = 5 cents
Dime*x+Nickel*(50-x)=Total worth
10*x+5(50-x)=415
10x+250-5x=415
5x=415-250
5x=165
5x/5=165/5
x=33

Total Dimes = x = 33
Total Nickel = 50-x = 50-33 = 17

Check
=========
10*33+5*17=415
330+85=415
415=415

RELATED QUESTIONS
Phil has 50 nickels and dimes worth $4.15. How many dimes does he... (answered by neatmath,josmiceli)

Phil has 50 nickels and dimes worth $4.15. How many dimes does he... (answered by mathie123)

Phil has 100 nickels and dimes worth $6.10. how many nickels does he... (answered by stanbon)

Jose has been collecting dimes and nickels. He has 24 coins (only dimes and nickels)... (answered by Alan3354)

Sam has 30 nickels and dimes worth $2.40. How many nickels does he... (answered by checkley77)

Ben has $3.40 in nickels and dimes. He has 4 more dimes than nickels. How many dimes does (answered by Alan3354,josgarithmetic)

Marco had 150 coins,all nickels and dimes. He has 12 more dimes than nickels. How many... (answered by josmiceli)

Joe has 37 coins (all nickels, dimes, and quarters) worth $5.50. He has 4 more quarters... (answered by stanbon)

Randy has a handful of dimes and nickels valuing $4.15.He has 7 more dimes than he has... (answered by ikleyn)