Question

Alice and Olivia share some sweets in the ratio of 3:1. alice gives 22 sweets to Olivia and now the ratio is 5:3 what is the difference of the sweets they intially have?

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:

88

Step-by-step explanation:

A : O

3x : 1x

3x-22 : 1x+22 = 5 : 3

3(3x-22) : 5(1x+22)

9x-66 : 5x + 110

Then we must put the x and numbers into different equations.

9x - 5x= 4x

110+66= 176

4x=176

x=44

44 x 3= 132

132-44=88

The answer is 88.