lucy brought 4 of her scarves to a second - hand store to sell. she was paid the same amount of cash for…

lucy brought 4 of her scarves to a second - hand store to sell. she was paid the same amount of cash for each scarf. before she left, lucy spent $10.50 of her earnings on a used sweater. she had $7.50 remaining. what was the value of each scarf?

lucy brought 4 of her scarves to a second - hand store to sell. she was paid the same amount of cash for each scarf. before she left, lucy spent $10.50 of her earnings on a used sweater. she had $7.50 remaining. what was the value of each scarf?

Answer

Explanation:

Step1: Find total earnings

Let the total earnings be $x$. We know that after spending $10.50$, she had $7.50$ remaining. So $x- 10.50=7.50$. Solving for $x$, we get $x=7.50 + 10.50$. $x=18$

Step2: Calculate value of each scarf

She sold 4 scarves and earned $x = 18$ dollars in total. Let the value of each scarf be $y$. Then $4y=18$. Solving for $y$, we have $y=\frac{18}{4}$. $y = 4.5$

Answer:

$4.5$