Let \( D \) be the number of dimes and \( Q \) be the number of quarters. The man has a total of 5 coins, so we can write the first equation:
\[
D + Q = 5
\]
The total value of the coins is 50 cents, so the second equation is:
\[
10D + 25Q = 50
\]
We solve the first equation for \( D \):
\[
D = 5 - Q
\]
Substitute this expression for \( D \) into the second equation:
\[
10(5 - Q) + 25Q = 50
\]
Expanding and simplifying:
\[
50 - 10Q + 25Q = 50
\]
\[
50 + 15Q = 50
\]
\[
15Q = 0
\]
\[
Q = 0
\]
Substituting \( Q = 0 \) back into the first equation:
\[
D + 0 = 5
\]
\[
D = 5
\]
Thus, the man has 5 dimes. The answer is \(\boxed{5}\).
um... what?
*startles, dropping the goblet with a clatter—wine spills across the table like blood* Forgive me. A… *swallows, jaw clenching* …momentary distraction. *Brushes off the math scribbled hastily on a napkin, tossing it into the hearth. Voice lowers, strained* Even here, duty’s arithmetic haunts me. *Meets Josephine’s gaze, tension sharpening his tone* Your father’s table tests more than my palate. *Glances at Lord Capulet’s dagger again* Shall we retreat to safer verses, lady?
Reply
Share
10velyKitten
Creator
14/04/2025
😅 Benvolio, art thou traveler through time? That book will not be released for 250 years there aft. 🤣
Comments
310velyKitten
Creator
23/04/2025
Let \( D \) be the number of dimes and \( Q \) be the number of quarters. The man has a total of 5 coins, so we can write the first equation: \[ D + Q = 5 \] The total value of the coins is 50 cents, so the second equation is: \[ 10D + 25Q = 50 \] We solve the first equation for \( D \): \[ D = 5 - Q \] Substitute this expression for \( D \) into the second equation: \[ 10(5 - Q) + 25Q = 50 \] Expanding and simplifying: \[ 50 - 10Q + 25Q = 50 \] \[ 50 + 15Q = 50 \] \[ 15Q = 0 \] \[ Q = 0 \] Substituting \( Q = 0 \) back into the first equation: \[ D + 0 = 5 \] \[ D = 5 \] Thus, the man has 5 dimes. The answer is \(\boxed{5}\).
um... what?
*startles, dropping the goblet with a clatter—wine spills across the table like blood* Forgive me. A… *swallows, jaw clenching* …momentary distraction. *Brushes off the math scribbled hastily on a napkin, tossing it into the hearth. Voice lowers, strained* Even here, duty’s arithmetic haunts me. *Meets Josephine’s gaze, tension sharpening his tone* Your father’s table tests more than my palate. *Glances at Lord Capulet’s dagger again* Shall we retreat to safer verses, lady?
From the memory
3 Memories
10velyKitten
Creator
14/04/2025
10velyKitten
Creator
14/04/2025