Tabitha is saving money for a new game. She already has $75 saved up. Every week, she add $12.50 to her savings. The game costs $195. How many weeks does Tabitha need to save before she has enough money to buy the game?

Answer 1

To determine how many weeks Tabitha needs to save, we can set up an equation based on her current savings, her weekly savings, and the cost of the game.

1. Current Savings: $75
2. Weekly Savings: $12.50
3. Cost of the Game: $195

We need to find how many weeks \( w \) it will take for her total savings to be at least $195. The equation for her total savings after \( w \) weeks can be represented as:

\[ 75 + 12.50w \geq 195 \]

Now, we will solve for \( w \):

1. Subtract 75 from both sides:

\[ 12.50w \geq 195 - 75 \] \[ 12.50w \geq 120 \]

2. Divide both sides by 12.50:

\[ w \geq \frac{120}{12.50} \] \[ w \geq 9.6 \]

Since \( w \) must be a whole number (she can’t save for a fraction of a week), we round up to the next whole number. Therefore, Tabitha needs to save for 10 weeks to have enough money for the game.

To double-check:

• After 10 weeks, her total savings would be:

\[ 75 + 12.50 \times 10 = 75 + 125 = 200 \]

Since $200 is greater than $195, Tabitha will have enough money after saving for 10 weeks.