Sawyer got a gift card for his birthday and wants to use it for a new video game. The game costs $60, but his gift card only covers 50% of that. If his mom covers the rest and says that he can pay her 20% of that amount each week, how many weeks will it take him to pay her back?

321

860

20% = 20 / 100 = 20 ∙ 1 / 20 ∙ 5 = 1 / 5

Sawyer pays 20% = 1 / 5 each week

5 weeks

To find out how many weeks it will take Sawyer to pay his mom back, we need to follow these steps:

Step 1: Calculate how much money the gift card covers.
Since the gift card covers 50% of the game cost, we can find this by multiplying the game cost by 50% or 0.5.
Game cost = $60 * 0.5 = $30

Step 2: Calculate how much money Sawyer's mom needs to cover.
Since the gift card covers $30 and the game cost $60, the remaining amount that Sawyer's mom needs to cover is $60 - $30 = $30.

Step 3: Calculate how much Sawyer needs to pay his mom each week.
Sawyer's mom wants him to pay her 20% of the remaining amount each week. So, we can find this amount by multiplying the remaining amount by 20% or 0.2.
Weekly payment amount = $30 * 0.2 = $6

Step 4: Calculate how many weeks it will take to pay his mom back.
To find this, we can divide the remaining amount by the weekly payment amount.
Number of weeks = $30 / $6 = 5

So, it will take Sawyer 5 weeks to pay his mom back.