Answer:
3 : 7
Step-by-step explanation:
To increase 150 in the ratio 3:2, we need to divide 150 in the ratio of 3:2 and then add the resulting values to each part of the ratio.
The total ratio is 3+2=5. To divide 150 in the ratio of 3:2, we can first find the value of one part of the ratio:
One part = 150 ÷ 5 = 30
So the original ratio of 3:2 can be written as 3 x 30 : 2 x 30, which is 90 : 60.
To increase this ratio by 150, we add 150 to the total value of the ratio:
New total = 90 + 60 + 150 = 300
The new ratio is then:
90 : 60 + 150 = 90 : 210
We can simplify this ratio by dividing both sides by 30:
3 : 7
Therefore, increasing 150 in the ratio 3:2 results in the ratio 3:7.