Question

Samantha wants to purchase a bike costing $118. She has $20 and plans on saving $14 each week until she can purchase the bike. Which equation represents the number of weeks, x, that she needs to save money to buy the bike?

Answer 1

sarah needs 7 weeks before she can buy the bike

Answer 2

Answer: Samantha wants to save enough money to purchase a bike that costs $118. She has $20 already and plans to save an additional $14 each week.

Let's denote the number of weeks she needs to save as x.

The equation representing this scenario would be:

Total money saved = Money she has + (Money saved per week * Number of weeks)

$118 = $20 + ($14 * x)

Simplifying the equation further:

$118 = $20 + $14x

$118 - $20 = $14x

$98 = $14x

To find the number of weeks (x), divide both sides by $14:

$x = \frac{98}{14}$

$x = 7$

Therefore, Samantha needs to save money for 7 weeks to purchase the bike.