The ratio of the number of red and blue candies in a jar is 7:8. If the percentage increase in the number of red and blue be 20% and 10% respectively , what will be the new ratio?
follow the same steps I just showed you in your previous question of this type of problem.
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To find the new ratio of red and blue candies, we first need to calculate the new number of red and blue candies after the given percentage increase.
Let's assume the initial number of red candies is 7x and the initial number of blue candies is 8x.
The percentage increase in the number of red candies is 20%. Therefore, the new number of red candies will be (100% + 20%) = 120% of 7x.
New number of red candies = (120/100) * 7x = 8.4x
Similarly, the percentage increase in the number of blue candies is 10%. Therefore, the new number of blue candies will be (100% + 10%) = 110% of 8x.
New number of blue candies = (110/100) * 8x = 8.8x
Now, we can find the new ratio by dividing the new number of red candies by the new number of blue candies:
New ratio = New number of red candies / New number of blue candies
New ratio = 8.4x / 8.8x
Simplifying, we get:
New ratio = 0.9545454545...
Rounding to the nearest whole numbers, the new ratio of red and blue candies will be approximately 1:1.
Therefore, the new ratio is 1:1.