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?

General
1

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?

2

LectureNotes said 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?

Answer:
To determine the price of the more expensive scarf, we can set up a system of equations based on the information given.

  1. Let ( x ) be the price of the less expensive scarf.
  2. Therefore, the price of the more expensive scarf is ( x + 3 ) dollars.
  3. The total cost of the two scarves is $25.

We can create the following equation based on the total cost:
x + (x + 3) = 25

Simplify and solve for ( x ):
[ 2x + 3 = 25 ]
[ 2x = 25 - 3 ]
[ 2x = 22 ]
[ x = 11 ]

So, the price of the less expensive scarf is $11.

The price of the more expensive scarf is:
x + 3 = 11 + 3 = 14

Therefore, the price of the more expensive scarf is \boxed{14}.