Jane is saving up to purchase her first bicycle. The new bike costs $185. Jane got $50 for her birthday and plans to put that towards the bicycle. To save the rest of the money, Jane plans to put asides an additional $15 per week until she has saved enough to purchase the bicycle. Write an equation that represents Jane’s savings towards earning her bicycle. Use w to represent the number of weeks.

Question

A) 15w = 185
B) 15w + 50 = 185
C) 50w + 15 = 185
D) 15w - 50 = 185

Answer 1

To represent Jane's savings towards earning her bicycle, we need to account for two things:

1. The $50 she already has from her birthday.
2. The $15 she plans to save each week, represented by \( w \) (the number of weeks).

The total amount she needs to save is $185. Therefore, we can write the equation that represents her total savings (the $50 plus the amount saved weekly) equal to the total cost of the bicycle:

\[ 15w + 50 = 185 \]

So, the correct answer is:

B) 15w + 50 = 185