Jenny is saving money to buy a bike that costs $164. She has $52 and will save an additional $8 each week.

Question

In how many weeks will she have enough money to buy the bike?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 164, 52, and 8. Let w represent the number of weeks.
w +
ロ
• Ow-0=0
(b) Solve the equation in part (a) to find the number of weeks.

Answer 1

To solve the problem, let's first write an equation based on the situation described.

Part (a)

Jenny is starting with $52 and saving $8 each week. We need to determine how many weeks, \( w \), it will take for her total savings to reach $164.

The equation can be set up as follows:

\[ 52 + 8w = 164 \]

Part (b)

Now, we'll solve the equation \( 52 + 8w = 164 \).

1. First, subtract 52 from both sides:

\[ 8w = 164 - 52 \] \[ 8w = 112 \]

2. Next, divide both sides by 8 to solve for \( w \):

\[ w = \frac{112}{8} \] \[ w = 14 \]

So, Jenny will need 14 weeks to save enough money to buy the bike.