Question

Sophie has $300 and spends $40 every week. Ralph has $180 and saves $20 every week. How many weeks will it take for both Sophie and Ralph to have the same amount of money?

A) 5 weeks
B) 6 weeks
C) 7 weeks
D) 8 weeks

Answer 1

To find out how many weeks it will take for both Sophie and Ralph to have the same amount of money, we set up an equation and solve for the number of weeks.

Step-by-step explanation:

To find out how many weeks it will take for both Sophie and Ralph to have the same amount of money, we need to set up an equation and solve for the number of weeks. Let's represent the number of weeks as x.

For Sophie, her total amount of money is given by 300 - 40x, where 40 is the amount she spends every week.

For Ralph, his total amount of money is given by 180 + 20x, where 20 is the amount he saves every week.

We want both values to be equal, so we can set up the equation: 300 - 40x = 180 + 20x.

Simplifying this equation: 60x = 120.

Dividing both sides by 60, we get x = 2.

Therefore, it will take 2 weeks for both Sophie and Ralph to have the same amount of money.