sonji paid $25 for two scarves, which were different prices. when she got home she could not find the…

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? $11 $12 $13 $14

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? $11 $12 $13 $14

Answer

Explanation:

Step1: Set up variables

Let the price of the cheaper scarf be (x). Then the price of the more expensive scarf is (x + 3).

Step2: Form an equation

The total cost of the two scarves is (25), so (x+(x + 3)=25). Simplify the left - hand side: (2x+3 = 25).

Step3: Solve for (x)

Subtract (3) from both sides: (2x=25 - 3=22). Divide both sides by (2): (x=\frac{22}{2}=11).

Step4: Find the price of the more expensive scarf

Since the more expensive scarf is (x + 3), substitute (x = 11) into it. So the price is (11+3=14).

Answer:

($14) (Option D)