Anna , beth and cheryl share the total cost of a holiday in the ratio 6: 5: 4 anna pays £294. work out the total cost of the holiday and how much cheryl pays?

The total cost of holiday is 735 pounds

The money paid by Cheryl is 196 pounds  .

Step-by-step explanation:

Given as :

The ratio of Anna , Beth , Cheryl share of holiday cost = 6 : 5 : 4

And The money paid by Anna = 294 pound

Let The money paid by Anna = A = 6 x

Let The money paid by Beth = B = 5 x

Let The money paid by Cheryl = C = 4 x

Let The total cost of holiday = y pounds

Let The money paid by Cheryl = C pounds

Now, According to question

∵ The money paid by Anna = 294 pound

So, 6 x = 294 pounds

∴  x =

i.e x = 49 pounds

So,  The money paid by Beth = B = 5 × 49

i.e The money paid by Beth = B = 245 pounds

Let The money paid by Cheryl = C = 4 x

Or,  C = 4 × 49 = 196 pounds

i.e The money paid by Cheryl = 196 pounds

Now, Again

The total cost of holiday = money paid by Anna + money paid by Beth + money paid by Cheryl

i.e y = A + B + C

Or, y = 294 pounds + 245 pounds + 196 pounds

∴ y = 735 pounds

So,  total cost of holiday = y = 735 pounds

Hence, The total cost of holiday is 735 pounds

And The money paid by Cheryl is 196 pounds  . Answer

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