Final answer:
Twila had 26 dimes in her jar along with the 14 quarters she saved, making a total of $6.10. This was calculated by first finding the value of the quarters and subtracting it from the total amount, and then dividing the remaining amount by the value of a dime.
Step-by-step explanation:
The student is trying to determine the number of dimes they have if they saved up a combination of dimes and quarters that amount to $6.10 in total, and already know that they have 14 quarters.
First, we calculate the total value of the quarters. Since each quarter is worth $0.25, we multiply the number of quarters by the value of each quarter:
14 quarters × $0.25/quarter = $3.50
Next, we subtract the total value of the quarters from the total amount of money saved:
$6.10 total - $3.50 in quarters = $2.60
Now, we find out how many dimes make up the remaining $2.60. Since each dime is worth $0.10, we divide the remaining amount by the value of each dime:
$2.60 ÷ $0.10/dime = 26 dimes
Therefore, Twila had 26 dimes if she had 14 quarters in the jar.