I need help on this math problem

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

O + M = 164.50

M = 2.5O (substitute into 1st eqn)

O + 2.5O = 164.50

3.5O = 164.50 O = 164.5/3.50 = $47

Check: M = 164.50 - 47 = $117.50

M/O = 117.5/47 = 2.5

Answer 2

Hi Juli,

Oliver has $47 in his savings account and Matthew has $117.50 in his savings account.

$117.50 + $47 = $164.50

$47 x 2.5 = $117.50

So, x = $47.