Sharon earned 6000 bonus miles for opening a new credit card that has a frequent-flyer program. She earns 250 miles for every $100 she spends. When the total miles reaches 25,000 miles, Sharon will be able to reserve a free round-trip ticket to anywhere in the United States. How many $100-purchases must she make to get the free trip?

Question

Mathematics

Arianna Edwards

Today, 12:08

Sharon earned 6000 bonus miles for opening a new credit card that has a frequent-flyer program. She earns 250 miles for every $100 she spends. When the total miles reaches 25,000 miles, Sharon will be able to reserve a free round-trip ticket to anywhere in the United States. How many $100-purchases must she make to get the free trip?

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Answers (2)

Know the Answer?

Mylie Weber · Answer 1

Mylie Weber Today, 13:11

0

In pretty sure it's 7 purchases

Giuliana Carter · Answer 2

She needs to make 76 $100 purchases.

Step-by-step explanation:

Let's represent this with an equation. We know she already has 6000 miles.

6000 +

She earns 250 per 100 spent dollars. Let's represent the amount of $100-purchases with x.

6000 + 250x

Her ultimate goal is to get 25,000 miles.

6000 + 250x = 25000

Now all we have to do is solve!

250x = 19000

x = 19000/250 = 76

She needs to make 76 $100 purchases.