Question

Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has $126 and plans to save an additional $14 each week. Mitchell currently has $42 and plans to save an additional $20 each week.

How many weeks will pass before Kiera and Mitchell have the same amount of money? How much money will they each have?
In
weeks, Kiera and Mitchell will each have $
.

Answer 1

It will take Kiera and Mitchell 14 weeks to have the same amount of money, which will be $322 each.

Step-by-step explanation:

Finding the Number of Weeks Until Kiera and Mitchell Have the Same Amount of Money

Let's start by setting up an equation for each sibling based on the information provided:

Kiera's savings can be represented by the equation: K = 126 + 14w, where K represents Kiera's total savings and w represents the number of weeks.

Mitchell's savings can be represented by the equation: M = 42 + 20w, where M represents Mitchell's total savings.

To find out when they will have the same amount of money, we need to set Kiera's savings equal to Mitchell's savings:

126 + 14w = 42 + 20w

Now, solve for w (which represents the number of weeks):

1. Subtract 14w from both sides: 126 = 42 + 6w
2. Subtract 42 from both sides: 84 = 6w
3. Divide both sides by 6: w = 14

It will take 14 weeks for Kiera and Mitchell to have the same amount of money. To find out how much money they will each have, we can substitute w back into either equation, let's use Kiera's:

K = 126 + 14(14)

K = 126 + 196

K = $322

In 14 weeks, Kiera and Mitchell will each have $322.