sally has twice as many dimes as nickels. the total value is $3.50. how many nickels does she have?
This is as far as i got:
#number of nickels = n
#number of dimes = 2n
help!!
actually, figured out the formula
0.05n+0.1(2n)=3.50
then the value must be 3.50
.05n+.10(2n)=3.50
n+ 4n=70 I divided by .05..
n=14
check this.
To solve this problem, we can set up two equations based on the given information:
1. The total value of the nickels and dimes is $3.50:
0.05n + 0.10(2n) = 3.50
2. Sally has twice as many dimes as nickels:
2n = n
Now, let's solve these equations step-by-step.
Step 1: Simplify the equation for the total value:
0.05n + 0.20n = 3.50
0.25n = 3.50
Step 2: Solve for n by dividing both sides of the equation by 0.25:
n = 3.50 / 0.25
Step 3: Calculate the value of n:
n = 14
Therefore, Sally has 14 nickels.
To solve this problem, we can start by setting up equations based on the information given.
1. Let's say the value of one nickel is $0.05. In that case, the value of n nickels would be 0.05n dollars.
2. Similarly, if the value of one dime is $0.10, then the value of 2n dimes would be 0.10 * 2n = 0.20n dollars.
According to the problem, the total value of both the nickels and dimes is $3.50. So we can set up the equation:
0.05n + 0.20n = 3.50
To solve this equation, you can combine the like terms:
0.25n = 3.50
Now, divide both sides of the equation by 0.25 to isolate n:
n = 3.50 / 0.25
By performing the division, you can find the number of nickels.