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Stella has some nickels and some dimes. She has a minimum of 15 coins worth no more than 
$1.25 combined. If Stella has 11 nickels, determine the maximum number of dimes that she could have.
Answer:

Stella has some nickels and some dimes. She has a minimum of 1515 coins worth no more than $1.25 \$ 1.25 combined. If Stella has 1111 nickels, determine the maximum number of dimes that she could have.\newlineAnswer:

Full solution

Q. Stella has some nickels and some dimes. She has a minimum of 1515 coins worth no more than $1.25 \$ 1.25 combined. If Stella has 1111 nickels, determine the maximum number of dimes that she could have.\newlineAnswer:
  1. Calculate Nickels Value: First, let's determine the value of the 1111 nickels that Stella has.\newlineSince each nickel is worth $0.05\$0.05, we multiply the number of nickels by the value of each nickel.\newline1111 nickels ×\times $0.05\$0.05 per nickel = $0.55\$0.55
  2. Calculate Remaining Amount: Now, let's calculate the remaining amount that can be allotted to dimes, given that the total value cannot exceed $1.25\$1.25. Subtract the value of the nickels from the total value. $1.25$0.55=$0.70\$1.25 - \$0.55 = \$0.70
  3. Calculate Dimes Quantity: Next, we need to find out how many dimes can be bought with the remaining $0.70\$0.70. Since each dime is worth $0.10\$0.10, we divide the remaining amount by the value of each dime. $0.70÷$0.10\$0.70 \div \$0.10 per dime = 77 dimes
  4. Check Minimum Coin Condition: Now, we need to check if having 77 dimes along with the 1111 nickels meets the condition of having a minimum of 1515 coins.\newline1111 nickels ++ 77 dimes == 1818 coins\newlineSince 1818 is more than the minimum of 1515 coins required, the condition is satisfied.
  5. Confirm Maximum Dimes: Finally, we confirm that Stella can have a maximum of 77 dimes with her 1111 nickels without exceeding the total value of $1.25\$1.25 and having at least 1515 coins.

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