Algebra
posted by Anonymous .
Anne has 20 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $1.45. How many nickels and how many dimes does she have? (Let x represent the number of nickels and y represent the number of dimes.)

d represents Dimes
n represents Nickles
Total number of coins;
d + n = 20, n = (20d) ...1
Total value of coins;
10d + 5n = 145 ...2
substitute equation 2 with equation 1 for n,
10d + 5(20d) = 145,
10d + 100  5d =145,
10d 5d = 145 100, d = 45/5 = 9 dimes
20  9 = 11 nickles 
wrong
Respond to this Question
Similar Questions

Algebra
This is a word problem I am supposed to solve with systems. I am having trouble setting it up if anyone could help me. A coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2 nickels were removed the … 
Math
Joe has a collection of nickels and dimes that is worth $6.05 if the number of dimes was double and the number of nickels was decreased by 10 the value of the coins would be $9.85 how many nickels and dimes does he have? 
math
Joe has a collection of nickels and dimes that is worth $8.55. If the number of dimes was tripled and the number of nickels was decreased by 2, the value of the coins would be $23.45. How many nickels and dimes does he have? 
math
Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and the number of nickels was decreased by 37, the value of the coins would be $8.85. How many nickels and dimes does he have? 
algebra
a bag contains only nickels and dimes. there are exactly 18 coins in the bag. the amount of money in the bag is $1.25. let x represent the number of nickels in the bag. let y represent the number of dimes in the bag. 1. write a system … 
math
When a child breaks open her piggy bank, she finds a total of 76 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $9. If the nickels were dimes, and the dimes were nickels, the value of the coins would … 
algebra
No. 2 alyssa has some coins in her purse consisting of pennies, nickels and dimes. She has 2 more nickels than dimes and thrice as many pennies as nickels. If the total is 0.52 dollars how many coins of each kind does she have. 
CSAB/Advance Algebra
A handful of 65 coins consist of pennies, nickels and dimes. The number of nickels is 4 less than twice of pennies, and there are 13 more dimes than nickels. How many coins of each kind are there? 
algebra
A collection of thirtyseven coins consists of nickels, dimes and quarters. There are ten more dimes than nickels. Represent the value of all the coins using one variable. 
Word problem
Sophia has 22 coins in her pocket, all of which are nickels and dimes. If the total value of her change is $1.75, how many nickels and how many dimes does she have?