Question

Suzanne is saving money for a trip to Cancun. She has $250 in her plane ticket fund and $150 in her resort fund. If she deposits $25 a week to her plane ticket fund and $50 to her resort fund, how many weeks will it be when she has the same amount of money for both funds? Create the equation that would allow you to find this solution.

Answer 1

Suzanne will have the same amount of money in both funds after 4 weeks.

Step-by-step explanation:

To find how many weeks it will take for Suzanne to have the same amount of money in both funds, we need to set up an equation.

Let x represent the number of weeks.

The amount of money in the plane ticket fund after x weeks can be represented by the equation: 250 + 25x.

The amount of money in the resort fund after x weeks can be represented by the equation: 150 + 50x.

Since Suzanne wants to have the same amount of money in both funds, we can set the two equations equal to each other: 250 + 25x = 150 + 50x.

This equation can be simplified to: 100 = 25x.

Dividing both sides of the equation by 25, we get: 4 = x.

Therefore, it will take Suzanne 4 weeks to have the same amount of money in both funds.