Higher Order Thinking Andrea went to the store
to buy a sweater that was on sale for off the
original price. It was then put on clearance at an
additional off the sale price. She also used
a coupon that saved her an additional . Andrea
did not spend more than for the sweater.
What are the possible values for the original
price of the sweater?

Ask by Gibbs Powell. in the United States

Mar 18,2025

Question

Higher Order Thinking Andrea went to the store
to buy a sweater that was on sale for off the
original price. It was then put on clearance at an
additional off the sale price. She also used
a coupon that saved her an additional . Andrea
did not spend more than for the sweater.
What are the possible values for the original
price of the sweater?

Ask by Gibbs Powell. in the United States

Mar 18,2025

UpStudy AI · Accepted Answer

To find the possible values for the original price of the sweater, we need to consider the discounts and the coupon discount.

Let's denote the original price of the sweater as $$ x $$.

1. The sweater was on sale for $$ 40\% $$ off the original price, so the sale price is $$ 0.6x $$.
2. Then, it was put on clearance at an additional $$ 25\% $$ off the sale price, so the clearance price is $$ 0.75 \times 0.6x = 0.45x $$.
3. Andrea used a coupon that saved her an additional $$ \$5 $$, so the final price she paid is $$ 0.45x - 5 $$.

Given that Andrea did not spend more than $$ \$7.60 $$ for the sweater, we can set up the inequality:

$$ 0.45x - 5 \leq 7.60 $$

Now, we can solve this inequality to find the possible values for the original price of the sweater.
Solve the inequality by following steps:
- step0: Solve for $$x$$:
  $$0.45x-5\leq 7.6$$
- step1: Move the constant to the right side:
  $$0.45x\leq 7.6+5$$
- step2: Add the numbers:
  $$0.45x\leq 12.6$$
- step3: Divide both sides:
  $$\frac{0.45x}{0.45}\leq \frac{12.6}{0.45}$$
- step4: Divide the numbers:
  $$x\leq 28$$
The possible values for the original price of the sweater are $$ x \leq 28 $$. This means that the original price of the sweater could be any value less than or equal to $$ \$28 $$.
The original price of the sweater could be any amount less than or equal to \$28.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions