Question

Oggy has saved $40 and is going to continue to save at a rate of $10 per week. Eggy has saved $25 and is going to continue to save at a rate of $25 per week. After how many weeks will they have the same amount of money? How much money will this be?

Let X represent the number of weeks.
How many weeks?
How much money will each have saved?

Answer 1

Oggy and Eggy will have the same amount of money after 1 week. They will each have saved $50.

Step-by-step explanation:

To determine after how many weeks Oggy and Eggy will have the same amount of money, we can set up an equation based on their savings. Oggy currently has $40 and saves $10 per week, so his total savings after X weeks can be represented as 40 + 10X. Eggy currently has $25 and saves $25 per week, so his total savings after X weeks can be represented as 25 + 25X. We need to find X when their savings are equal:

40 + 10X = 25 + 25X

By simplifying and solving for X, we get:

15X = 15

X = 1

Therefore, it will take 1 week for Oggy and Eggy to have the same amount of money. To find out how much money they will have saved, we substitute X = 1 into one of the equations:

Oggy's savings after 1 week: 40 + 10(1) = $50

Eggy's savings after 1 week: 25 + 25(1) = $50

Therefore, after 1 week, both Oggy and Eggy will have saved $50.