Mr James gives £500 to his children Ally, Barry and Cat in the ratio 2:3:5.
How much do they each receive?

Answers:

Ally gets 100 poundsBarry gets 150 poundsCat gets 250 pounds

Work Shown:

x = some positive real number

2x = amount Ally gets

3x = amount Barry gets

5x = amount Cat gets

Note that the ratio 2x:3x:5x reduces to 2:3:5 after dividing all parts by x.

Add up the parts and you should get a sum of 500 pounds. Solve for x.

2x+3x+5x = 500

10x = 500

x = 500/10

x = 50

Based on that x value, we then can say:

2x = 2*50 = 100 pounds is what Ally gets3x = 3*50 = 150 pounds is what Barry gets5x = 5*50 = 250 pounds is what Cat gets

As a check, 100+150+250 = 500.

Also, note that the ratio 100:150:250 fully reduces to 2:3:5 after dividing all parts by the GCF 50.

Those two facts help confirm our answers.

What am i doing here. add?

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )