maryampatel1610 maryampatel1610
  • 18-12-2019
  • Mathematics
contestada

Richard, Henry and Gavin share some sweets in the ratio 5:4:3. Richard gets 70 sweets. How many sweets are there altogether?

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iwillanswer iwillanswer
  • 25-12-2019

There are 168 sweets altogether

Solution:

Richard, Henry and Gavin share some sweets in the ratio 5 : 4 : 3

Let "5a" be the share of Richard

Let "4a" be the share of Henry

Let "3a" be the share of Gavin

Richard gets 70 sweets

share of Richard = 70

5a = 70

a = 14

To find: number of sweets altogether

number of sweets altogether = share of richard + share of henry + share of gavin

number of sweets altogether = 5a + 4a + 3a

number of sweets altogether = 12a = 12(14) = 168

Thus there are 168 sweets altogether

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