Question

Robert and Amy are each saving money. Robert starts with $80 in his savings account and adds $6 per week. Amy starts with $40 in her savings account and adds $10 each week. After how many weeks will they have the same amount of money?

a) 8 weeks
b) 10 weeks
c) 12 weeks
d) 14 weeks

Answer 1

To find out when Robert and Amy will have the same amount of money, we can set up an equation and solve for the number of weeks. After solving the equation, we find that it will take them 10 weeks to have the same amount of money.

Step-by-step explanation:

To find out how many weeks it will take for Robert and Amy to have the same amount of money, we can set up an equation. Let's represent the number of weeks with 'w'. Robert starts with $80 and adds $6 per week, so the amount of money he will have after 'w' weeks is given by the equation 80 + 6w. Amy starts with $40 and adds $10 per week, so the amount of money she will have after 'w' weeks is given by the equation 40 + 10w. To find out when they will have the same amount of money, we can set these two equations equal to each other and solve for 'w'.

80 + 6w = 40 + 10w

Subtracting 6w and 40 from both sides, we get:

40 = 4w

Dividing both sides by 4, we find that 'w' is equal to 10. Therefore, it will take them 10 weeks to have the same amount of money. So the answer is b) 10 weeks.