Sandra and Gill share a box of sweets in the ratio 3:2. Jonny takes half of Sandra's sweets and a quarter of Gill's sweets. What fraction of the original box of sweets does
Jonny have?

2/5

Step-by-step explanation:

Sandra : Gill = 3 : 2 = 3x : 2x

Let x be a positive constant

Let 3x = number of sweets Sandra has

Let 2x = number of sweets Gill has

Total sweets in the box = 3x + 2x = 5x

⇒ half of Sandra's sweets = 3x ÷ 2 = (3/2)x

⇒ quarter of Gill's sweets = 2x ÷ 4 = (1/2)x

⇒ Jonny = (3/2)x + (2/4)x = 2x

So Jonny has 2x sweets of the total of 5x:

⇒ 2x / 5x = 2/5

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step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.