Question

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?
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Answer 1

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.

Have a wonderful day!