Question

Andre's coin jar contains 85 cents. There are no
quarters or pennies in the jar, so the jar has all
nickels, all dimes, or some of each.
16
1) Write an equation that relates the number of
nickels, n, the number of dimes, d, and the
amount of money, in cents, in the coin jar.
Can You please help me on this they don’t have what I’m looking for.

Answer 1

Answer: d+n= 85

Step-by-step explanation:

Answer 2

Answer:   5n+10d = 85

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Explanation:

n = number of nickels

d = number of dimes

Since each nickel is 5 cents, and each dime is 10 cents, we can say

5n = value of all the nickels (ignore the dimes) in cents

10d = value of all the dimes (ignore the nickels) in cents

5n+10d = value of all the coins (nickels+dimes) in cents

5n+10d = 85 is the equation we're after

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Extra Info:

We don't have enough info to be able to solve for n and d.

The list of all possible solutions are

• n = 17, d = 0
• n = 15, d = 1
• n = 13, d = 2
• n = 11, d = 3
• n = 9, d = 4
• n = 7, d = 5
• n = 5, d = 6
• n = 3, d = 7
• n = 1, d = 8

Note how each time n drops by 2, d goes up by 1.

This is because 2 nickels = 1 dime.

In other words, for every 2 nickels we take away, we add on 1 dime. This works in reverse as well (for every dime removed, add 2 nickels).