Question

Peter, Bridget and Caroline share some sweets in the ratio 5:4:3. Peter gets 16 more sweets than Caroline. How many sweets does Bridget get?

Answer 1

Answer:

Bridget got 32 sweets.

Step-by-step explanation:

Given that the ratio of the number of sweets with Peter, Bridget and Caroline is 5:4:3.

Suppose,

Caroline has c number of sweets.

Bridget has b number of sweets.

Peter has p number of sweets.

Given that p:b:c=5:4:3

Now let c=3x

Then b/c=4/3 implies b=(4/3)(3x) implies b=4x

Similarly, p=5x

Now, it is given that Peter gets 16 more sweets than Caroline.

So, p-c=16

Implies, 5x-3x=16

2x=16 which implies x=8

So,

The number of sweets with Bridget= 4x

                                                          = 4(8)

                                                          = 32

So, Bridget got 32 sweets.

Answer 2

Answer:

Bridget got 24 sweets

Peter got 40 sweets

Caroline got 32 sweets