Question

alice and olivia shared some sweets in the ratio 7:3.alice givwes 3 sweets to olivia and now the ratio is 5:3. haw many sweets did each have initiallt

Answer 1

Given :

• Alice and olivia shared some sweets in the ratio 7:3.

• Alice gives 3 sweets to olivia and now the ratio is 5:3.

To find :

• Sweets did each have =?

Step-by-step explanation :

Let, Alice shared sweet be 7x.

Then, the Olivia shared sweet be 3x.

Alice gives 3 sweets to Olivia,

It means Alice's sweet is decreased by 3.

So, Alice's have sweet = 7x - 3

It means Olivia sweet is increased by 3.

So, Olivia have sweets = 3x + 3

According to the question :

➮ 7x - 3/3x + 3 = 5/3

➮ 3(7x - 3) = 5(3x + 3)

➮ 21x - 9 = 15x + 15

➮ 21x - 15x = 15 + 9

➮ 6x = 24

➮ x = 24/6

➮ x = 4

Therefore, We got the value of x = 4.

Hence,

Alice shared sweet, 7x = 7 × 4 = 28.

Olivia shared sweet, 3x = 3 × 4 = 12.

Answer 2

Answer:

Step-by-step explanation: