Liam, Sarah and Emily shared some money in the ratio 2:3:5. Liam got £30 less than Sarah. How much money did Emily get

Question

HELP ASAP

Answer 1

So, a ratio is broken down into parts. Of the total, Liam got 2 parts, Sarah got 3, and Emily got 5, for a total of 10 parts.

 

Let's say they got a total of 50 pounds. Then each part is 50/10 = 5, so Liam got 2(5) = 10 pounds. Make sense?

 

Well, if Liam gets 2 parts and Sarah gets 3, then Liam gets 1 fewer part than Sarah. Hey, that one part is 30 pounds!

 

Emily has 5 parts. 5(30) = 150 pounds.

 

Let's check.

 

2(30) = 60

3(30) = 90

5(30) = 150

 

60:90:150 = 2:3:5

Check!

 

 

Answer 2

When you see ratio questions like this, add up the numbers to get the total number of parts. You see there are 10 parts. Then consider the ratios to be 2/10, 3/10 and 5/10. Set up the equation like this.

3/10(x) - 2/10(x) = 30    This is Sarah's minus Liam's share. Then solve for x, the total amount of money shared.

Once you do that, you can find out how much each person got by multiplying the total (x) by the fractions 2/10, 3/10 and 5/10.