Tom, Ulrika and Harriet each have some money. Harriet has 3 times as much money as Ulrika.
Harriet has £304 more money than Tom.
5
Tom has of the amount of money that Ulrika has.
How much money does Ulrika have?

Hey there! I'm happy to help!

Let's represent Tom's money as T, Ulrika's as U, and Harriet's as H. Let's put the information we have in a system of equations and solve the problem.

H=3U                       (Harriet has 3x as much as Ulrika)

H=T+304                      (Harriet has 304 more than Tom)

T=U                          (Tom has same amount as Ulrika.)

We see that 3U and T+304 are equal because they both equal H.

3U=T+304

Since T and U are interchangeable because they are equal, we can replace the U with T to solve for T, which is also the answer for U.

3T=T+304

We subtract T from both sides.

2T=304

We divide both sides by 2.

T=152

This also means that U=152.

So, Ulrika has $152.

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