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KonstantinChe [14]
2 years ago
7

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

re altogether?

Mathematics
2 answers:
Gre4nikov [31]2 years ago
7 0

Answer:

<h2>117 sweets</h2>

Solution,

Given ratio= 4 : 2 : 3

Sarah has 4x sweets.

Natasha has 2x sweets.

Richard has 3x sweets.

Given,

3x + 13 = 4x \\ 3 x - 4 x=  - 13 \\  - x =  - 13 \\ x = 13

Now,

Total sweets:

4x + 2x + 3x \\  = 4 \times 13 + 2  \times 13 \times 3 \times 13 \\  = 52 + 26 + 39 \\  = 117 \: sweets

Hope this helps..

Good luck on your assignment...

gayaneshka [121]2 years ago
4 0

Answer:

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

<em>Sarah gets 13 more sweets than Richard</em>

4x= 3x +13

4x -3x= 13

x= 13

Total number of sweets

= 4x +2x +3x

= 9x <em>(</em><em>simplify</em><em>)</em>

= 9(13) <em>(</em><em>subst</em><em>.</em><em> </em><em>x</em><em>=</em><em>1</em><em>3</em><em>)</em>

= 117 sweets

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