Question

3) Pat and Julie share some money in the ratio 2 : 5 Julie gets £45 more than Pat. How much money did Pat get?

Answer 1

Answer: 30£.

Explanation: Julie gets 5x, Pat gets 2x by the propotion. Since Julie gets £45 more than Pat, we have 5x-2x=45. Thus, we have: 3x=45, and thus, x=15. Therefore, Pat gets $2x = 2\cdot 15 = 30.$

Answer 2

Let's call the amount of money Pat gets "P" and the amount Julie gets "J." According to the given ratio, Pat and Julie share the money in the ratio of 2:5. This means:

P/J = 2/5

We're also told that Julie gets £45 more than Pat. So, we can express this relationship as:

J = P + £45

Now we have a system of two equations:

1. P/J = 2/5
2. J = P + £45

We can use these equations to solve for P. Let's first substitute the second equation into the first equation:

P/(P + £45) = 2/5

Now, cross-multiply to solve for P:

5P = 2(P + £45)

Distribute the 2 on the right side:

5P = 2P + 2(£45)

5P = 2P + £90

Subtract 2P from both sides:

3P = £90

Now, divide both sides by 3 to find the value of P:

P = £90 / 3 P = £30

So, Pat received £30.