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?

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

Solution,

Given ratio= 4 : 2 : 3

Sarah has 4x sweets.

Natasha has 2x sweets.

Richard has 3x sweets.

Given,

Now,

Total sweets:

Hope this helps..

Good luck on your assignment...

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: