Sarah, Natasha and Richard share some sweets in the ratio 4:2:3. Sarah gets 13 more sweets than Richard. How many sweets are there altogether?

Solution,

Given ratio= 4 : 2 : 3

Sarah has 4x sweets.

Natasha has 2x sweets.

Richard has 3x sweets.

Given,

Now,

Total sweets:

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117 sweets

Step-by-step explanation:

Please see attached picture for full solution. (model method)

S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.

Alternatively,

Let the number of sweets Sarah have be 4x.

Number of sweets Natasha have= 2x

Number of sweets Richard have= 3x

Sarah gets 13 more sweets than Richard

4x= 3x +13

4x -3x= 13

x= 13

Total number of sweets

= 4x +2x +3x

= 9x (simplify)

= 9(13) (subst. x=13)

= 117 sweets

Step-by-step explanation:

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