The points on line a represent combinations of nickels and dimes that equal 8 total coins. The points on line b represent the combinations of nickels and dimes that have a total value of 50 cents.

Question

Name one combination of coins that equals 8 total coins. Record a whole number for the number of nickels and the number of dimes. Remember, line a represents all combinations of nickels and dimes that total to 8 coins.
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Number of nickels
Number of dimes

Answer 1

To find one combination of nickels and dimes that equals a total of 8 coins, we can set up the equation:

Let \( x \) be the number of nickels and \( y \) be the number of dimes. The equation for the total number of coins is:

\[ x + y = 8 \]

One possible combination could be:

• Number of nickels: 3
• Number of dimes: 5

So, \( x = 3 \) and \( y = 5 \).

This satisfies the equation because:

\[ 3 + 5 = 8 \]

Thus, one combination is:

• Nickels (x): 3
• Dimes (y): 5