Question

In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.

Answer 1

D= 3N-5

0.10D+0.05N=5.80

Explanation:

So, Let D represents the number of dimes

N represents the number of nickels.

For the given statement "The number of dimes is 5 less than 3 times the N"

So, we could set up equation as

D=3N-5

Now, for the statement "The value of collection is $5.80"

So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)

0.10D+0.05N=5.80