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:
Q. 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:
Calculate Nickels Value: First, let's determine the value of the 11 nickels that Stella has.Since each nickel is worth $0.05, we multiply the number of nickels by the value of each nickel.11 nickels ×$0.05 per nickel = $0.55
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. Subtract the value of the nickels from the total value. $1.25−$0.55=$0.70
Calculate Dimes Quantity: Next, we need to find out how many dimes can be bought with the remaining $0.70. Since each dime is worth $0.10, we divide the remaining amount by the value of each dime. $0.70÷$0.10 per dime = 7 dimes
Check Minimum Coin Condition: Now, we need to check if having 7 dimes along with the 11 nickels meets the condition of having a minimum of 15 coins.11 nickels +7 dimes =18 coinsSince 18 is more than the minimum of 15 coins required, the condition is satisfied.
Confirm Maximum Dimes: Finally, we confirm that Stella can have a maximum of 7 dimes with her 11 nickels without exceeding the total value of $1.25 and having at least 15 coins.
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