QuestionShow your work for partial credit
1. An online shopping website has a membership fee, for which you will receive a 5 percent discount on all items you purchase. How much would you have to buy to cover the membership fee?
Studdy Solution
STEP 1
What is this asking? How much do I need to spend to save \$250 with a 5% discount? Watch out! Don't forget that we're looking for the **total amount spent**, not the actual savings.
STEP 2
1. Set up the problem
2. Solve for the total purchase amount
STEP 3
Alright, so we know that we get a **5% discount** for a **\$250 membership**.
We want to know how much we need to spend to make that membership worthwhile!
STEP 4
Let's call the **total purchase amount** .
Our **savings** will be 5% of , which we can write as .
STEP 5
We want our **savings** to be equal to the **membership fee**, which is \$250.
So, we can set up an equation:
STEP 6
Now, we just need to **solve for** .
We can do this by dividing both sides of the equation by .
Remember, we're dividing both sides by to turn the on the left into a , so we can isolate .
STEP 7
This simplifies to:
STEP 8
Calculating the result gives us:
STEP 9
So, you would need to spend **\$5000** to cover the cost of the membership fee!
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