Question

Zacharias has a total of 65 coins, all of which are either dimes or nickels. The total value of the coins is $5.95. Find the number of each type of coin.
Zacharias has a total of 65 coins, all of which are either dimes or nickels. The total value of the coins is $5.95. Find the number of each type of coin.
@Mathematics

Answer 1

Convert words and sentences into equations. Assign variable names for unknown items. In this example, number of nickels and number of dimes are unknown. Call them N and D.

Based on the first sentence, we know that N + D = 65.
Based on the second sentence, we know that N times value of nickel + D times value of dime total 5.95.

Now, you have two equations in two variables. You should be able to solve the two equations to figure out N and D.

Answer 2

Oh well, there you have the answer written for you.

Answer 3

dime x
nickel y

x+y=65
10x+5y=595

y=65-x

10x+5(65-x)=595

10+325-5x=595
5x=270
x=54

54+y=65
y=11

54 dimes; 11 nickels