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?
2 answers:
Answer:
<h2>117 sweets</h2>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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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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