Krista has $0.85 in nickels and dimes. She has 2 more nickels than dimes. How many nickels does she have?
Im the sure but im going to say:
5 dimes and 7 nickels
let the number of dimes be d
then the number of nickels is d+2
solve
10d + 5(d+2) = 85
To find out how many nickels Krista has, we need to set up a system of equations based on the given information. Let's use variables to represent the number of nickels and dimes she has.
Let x be the number of dimes Krista has.
Since she has 2 more nickels than dimes, the number of nickels can be represented as (x + 2).
Since each nickel is worth $0.05 and each dime is worth $0.10, we can create an equation based on the value of the coins:
0.05(x + 2) + 0.10x = 0.85
Now we can solve for x, the number of dimes:
0.05x + 0.10 + 0.10x = 0.85
0.15x + 0.20 = 0.85
0.15x = 0.85 - 0.20
0.15x = 0.65
Divide both sides of the equation by 0.15:
x = 0.65 / 0.15
x = 4.33 (rounded to two decimal places)
Since we can't have a fractional number of dimes, we need to round down to the nearest whole number. Krista has 4 dimes.
Now let's find the number of nickels:
Number of nickels = x + 2
Number of nickels = 4 + 2
Number of nickels = 6
Therefore, Krista has 6 nickels.