Question

Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds $10 to her. How many weeks before Jeremy and Katie have the same amount of money saved up

Answer 1

15 weeks

Explanation:

One is given the following information:

Jeremy

• Starts with $120
• Adds $14 every week to his account

Katie

• Stars with $180
• Adds $10 every week to her account

Let the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:

y = S + Ax

Substitute the given information into the equation for each person:

Jeremy: y = 120 + 14x

Katie: y = 180 + 10x

One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:

y = 120 + 14x = 180 + 10x

Inverse operations,

120 + 14x = 180 + 10x

4x = 60

x = 15

15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.

Answer 2

15 weeks

Explanation:

Let the number of weeks = x.

At the end of x weeks,

Jeremy has 120 + 14x,

and Katie has 180 + 10x

We want to know when their amounts are equal.

120 + 14x = 180 + 10x

4x = 60

x = 15

Answer: 15 weeks