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
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
Answer:
Solution,
Given ratio= 4 : 2 : 3
Sarah has 4x sweets.
Natasha has 2x sweets.
Richard has 3x sweets.
Given,
[tex]3x + 13 = 4x \\ 3 x - 4 x= - 13 \\ - x = - 13 \\ x = 13[/tex]
Now,
Total sweets:
[tex]4x + 2x + 3x \\ = 4 \times 13 + 2 \times 13 \times 3 \times 13 \\ = 52 + 26 + 39 \\ = 117 \: sweets[/tex]
Hope this helps..
Good luck on your assignment...
