Question

Jason now has $28.24 and is saving $8.75/week. Beth has $104.75 and is saving $6.50/week. In how many weeks from now will they have the same amount of money?

a) 8 weeks
b) 12 weeks
c) 15 weeks
d) 18 weeks

Answer 1

a) is the right answer

Answer 2

To find out how many weeks it will take for Jason and Beth to have the same amount of money, set up an equation to represent their total amounts. Solve the equation to find the value of x, which represents the number of weeks. The solution is 33 weeks.

Step-by-step explanation:

To find out how many weeks it will take for Jason and Beth to have the same amount of money, we can set up an equation. Let x represent the number of weeks. Jason's total amount of money after x weeks is 28.24 + 8.75x dollars. Beth's total amount of money after x weeks is 104.75 + 6.5x dollars. We need to find the value of x when their total amounts are equal:

28.24 + 8.75x = 104.75 + 6.5x

Subtracting 6.5x from both sides:

28.24 + 2.25x = 104.75

Subtracting 28.24 from both sides:

2.25x = 76.51

Dividing both sides by 2.25:

x = 33.89

Since x represents the number of weeks, we round down to the nearest whole number, giving us a solution of 33 weeks. Therefore, in 33 weeks, Jason and Beth will have the same amount of money.