Question

sonji paid $25 for two scarves, which were different prices. when she got home she could not find the receipt. she remembered that one scarf cost $3 more than the other. what was the price of the more expensive scarf? $13 $14 $12 $11

Explanation:

Step1: Define variables

Let the price of the less expensive scarf be $x$. Then the price of the more expensive scarf is $x + 3$.

Step2: Set up equation

The total cost of the two scarves is $25$, so we have the equation $x+(x + 3)=25$.

Step3: Solve the equation

Simplify the left side: $2x+3 = 25$. Subtract 3 from both sides: $2x=25 - 3=22$. Divide both sides by 2: $x=\frac{22}{2}=11$.

Step4: Find the more expensive price

The more expensive scarf is $x + 3$, so substitute $x = 11$: $11+3 = 14$.

Answer:

B. $14$