Question

. Kim and Kathy share marbles in the ratio 5: 3. Kim gives 4 marbles to Kathy and the ratio is now 1:1

How many marbles did each have initially?

Answer 1

Answer:

20 and 12

Step-by-step explanation:

Let marbles with them be 5x and 3x

kim gives 4 marbles to kathy then the marbles left with her are 5x - 4

Kathy will have 3x + 4 marbles

Now there ratio is 1:1 means they are equal

5x - 4 = 3x + 4

5x - 3x = 4 + 4

2x = 8

x = 4

So, the marbles with them

Kim = 20

Kathy = 12

Answer 2

Answer:

20 and 12

Step-by-step explanation:

we see the gap between then is two parts, if Kim gives 4 marbles the ratio became 1:1

so that means they are equal

if taking out 1 part in Kim and giving it to Kathy, makes them equals

so one part equals to 4 marbles

so total will be 32

for 5 parts it will be 20

for three parts it will be 12

second method

let's the marbles at first they have is 5x and 3x

if four marbles taken out from Kim the ratio became 1:1

if we are taking out 4 marbles then the resultend is 5x-4 and those taken out we are adding it to Kathy then the result will become 3x+4

so (5x-4)/(3x+4)= 1/1

5x-4=3x+4

5x-3x=8

2x=8

x=4