Question

Oliver and Matthew have money saved up.

Oliver's savings can be represented with x.
Mathew has 2.5 times as much as Oliver.
Combined they have $164.50. How much
money does Oliver have in his savings?

Answer 1

Oliver has $47 in his savings. We determine this by setting up an equation where x represents Oliver's savings and 2.5x represents Matthew's savings, which combined equal $164.50. Solving for x gives us the amount Oliver has saved.

Step-by-step explanation:

Let's solve for Oliver's savings, which are represented by x. Since Matthew has 2.5 times as much money as Oliver, we can express Matthew's savings as 2.5x. The problem states that together they have $164.50. We can set up the following equation to represent the total savings:

x + 2.5x = $164.50

This simplifies to 3.5x = $164.50. To find x, we divide both sides of the equation by 3.5:

x = $164.50 / 3.5

x = $47

Therefore, Oliver has $47 in his savings.

Answer 2

So to start you would write out
1X+2.5X=164.50
You would then add the 1X and the 2.5X to get
3.5X=164.50
You would then divide the 164.50 by 3.5 and get
X=47.00
Oliver has $47
To get Mathew write the equation
2.5X
Replace X with the $47 and multiply it by the 2.5
Mathew has $117.50