Question

Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3:5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7:9. Find the sum of money Kate had initially.​

Answer 1

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x-150/9x-150=7/9

8x=1050+1350

8x=2400

X=2400/8=300

Kate money 3x=3×300=900

Answer 2

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900