# whats the answer to share £250 in the ratio 1:4?

Relevance
• 5 parts_________£ 250

1 part__________£ 50

4 parts_________£ 200

• 50:200 pounds is the ratio.

• 1 times x = x

4 times x = 4x

x + 4x = 250

5x = 250

x = 250/5

x = 50

Then 4x becomes 4(50) = 200.

• Add the ratios and divide into £250 for one ratio

Hence

1 + 4 = 5

250/5 = 50 ('1' ratio)

Hence '4' ratios is 50 x 4 = 200

Hence 1:4 :: £50:£200

• Since the ratio is 1:4, you can think of the amounts being x and 4x.

x + 4x = 250

5x = 250

x = 50

So the shares are x (50) and 4x (200)

£50 and £200

•   0.2 : 0.8

£50 :  £200

• You need to divide the pounds into five equal portions.

Each portion is £250/5 = £50

One of the shares is 1 portion, or £50.

The other share is 4 portions, or £200

• 1:4 means 1 part to 4 parts .. which is 5 parts in total.

So .. divide 250 by 5 to get 50

and if 50 is ''1 part'' then ''4 parts'' is (50 x 4) .. 200

making a 1:4 share of 250 .... 50 and 200

• total shares is 1+4 = 5

1/5 of 250 is £50

4/5 of 250 is £200

• If you are splitting it two ways in a ratio of 1:4, then if we set x and y as our two variables, they are in the ratio:

x/y = 1/4

x + y = 250

We now have a system of two equations and two unknowns that can be solved.

Solve the second equation for y in terms of x, then substitute into the first and solve for x:

y = 250 - x

x/y = 1/4

x/(250 - x) = 1/4

Multpily both sides by 4(250 - x):

4x = 250 - x

5x = 250

x = 50

Now we can find y:

x + y = 250

50 + y = 250

y = 200

The values are:

£50 and £200