These are the first sentences in the short story, "The Gift of the Magl," by O. Henry: "One dollar and elghty-seven cents. That was all. And sixty cents of it was in pennles." Model the scenario with an equation. Let \( q \) be the number of quarters, \( d \) be the number of dimes, and \( n \) be the number of nickels. \( 25 q=10 d+5 n=60=1.87 \) \( 25 q+10 d=5 n+60=187 \) \( q=d=n=60=187 \) \( 0.25 q=0.10 d=0.5 n=0.60=187 \)

To model the scenario described from "The Gift of the Magi" by O. Henry, let's break down the information provided: 1. **Total Amount**: \$1.87, which is **187 cents**. 2. **Pennies**: 60 cents are in pennies. 3. **Other Coins**: The remaining amount (187 cents - 60 cents = **127 cents**) is in quarters (\( q \)), dimes (\( d \)), and nickels (\( n \)). ### Step-by-Step Modeling 1. **Define the Variables**: - \( q \) = number of quarters - \( d \) = number of dimes - \( n \) = number of nickels 2. **Set Up the Equation**: - The value of quarters: \( 25q \) cents - The value of dimes: \( 10d \) cents - The value of nickels: \( 5n \) cents - The value of pennies: 60 cents 3. **Total Value Equation**: \[ 25q + 10d + 5n + 60 = 187 \] - This equation accounts for all the coins and ensures the total value sums up to 187 cents. ### Analyzing the Provided Options Given the options: 1. \( 25 q=10 d+5 n=60=1.87 \) 2. \( 25 q +10 d =5 n +60=187 \) 3. \( q=d=n=60=187 \) 4. \( 0.25 q=0.10 d=0.5 n=0.60=187 \) **Option 2** is the closest to the correct equation. It can be interpreted as: \[ 25q + 10d + 5n + 60 = 187 \] This formulation accurately represents the scenario by accounting for the total amount in quarters, dimes, nickels, and pennies. ### Final Equation \[ 25q + 10d + 5n + 60 = 187 \] Or, simplifying by subtracting the pennies: \[ 25q + 10d + 5n = 127 \] **Therefore, Option 2 correctly models the scenario:** \[ 25 q + 10 d = 5 n + 60 = 187 \] *(Interpreted as \(25q + 10d + 5n + 60 = 187\))*