There were some jelly beans in a jar putri ate 1 4 of the jelly beans emma atr 4 9 of the remaining jelly beans there were 35 jelly beans left in the jar how many jelly beans did putri eat?
Let's start by finding out how many jelly beans Emma ate. Emma ate 4/9 of the remaining jelly beans, so she ate 4/9 * 35 = <<4/9*35=15.56>>15.56 jelly beans.
The remaining jelly beans after Putri ate some were 35 jelly beans, so before Emma ate any, there were 35 + 15.56 = <<35+15.56=50.56>>50.56 jelly beans.
Putri ate 1/4 of the total jelly beans in the jar, so she ate 1/4 * 50.56 = <<1/4*50.56=12.64>>12.64 jelly beans.
Therefore, Putri ate 12.64 jelly beans. Answer: \boxed{12.64}.
To find out how many jelly beans Putri ate, we need to follow the information given in the problem. Let's break it down step by step:
First, let's assume the total number of jelly beans in the jar before Putri ate any is represented by "x."
According to the problem, Putri ate 1/4 of the jelly beans. So, 1/4 * x.
After Putri ate, the remaining jelly beans are represented by 3/4 * x (since 1 - 1/4 = 3/4).
Now, Emma ate 4/9 of the remaining jelly beans. We need to subtract this from the remaining jelly beans:
Remaining jelly beans * (1 - 4/9) = 35
Now, we can set up an equation:
3/4 * x * (1 - 4/9) = 35
To solve the equation, we can follow these steps:
1. Simplify the expression inside the parentheses:
1 - 4/9 = (9 - 4) / 9 = 5/9
2. Substitute the simplified value back into the equation:
(3/4 * x) * (5/9) = 35
3. Multiply both sides of the equation by (9/5) to isolate x:
x = (35 * 9 * 5) / (3 * 4)
4. Multiply and divide to simplify the expression:
x = (1575) / (12)
5. Calculate the result:
x = 131.25
Therefore, there were initially 131.25 jelly beans in the jar.
To find out how many jelly beans Putri ate, we can multiply the total number of jelly beans (131.25) by 1/4:
Putri ate = 131.25 * (1/4)
Putri ate = 32.8125
So, Putri ate approximately 32.8125 jelly beans rounded to the required decimal places.
To find out how many jelly beans Putri ate, we need to calculate the number of jelly beans Emma ate first.
Let's start by calculating the number of jelly beans Emma ate:
1. Emma ate 4/9 of the remaining jelly beans.
2. We are given that there were 35 jelly beans left in the jar after Emma ate 4/9 of them.
3. To find out how many jelly beans Emma ate, we need to determine the fraction of jelly beans left in the jar. Since Emma ate 4/9, the fraction remaining is 1 - 4/9.
4. The fraction remaining in the jar is 5/9.
5. We can set up a proportion to find the number of jelly beans Emma ate: 5/9 = 35/x, where x represents the total number of jelly beans.
6. Cross-multiplying, we get 5x = 35*9.
7. Simplifying, we get 5x = 315.
8. Dividing both sides by 5, we find x = 63.
So, there were initially 63 jelly beans in the jar.
Now, to find out how many jelly beans Putri ate:
1. Putri ate 1/4 of the jelly beans.
2. The fraction of jelly beans left after Putri ate is 1 - 1/4.
3. The fraction remaining in the jar is 3/4.
4. We can set up a proportion to find the number of jelly beans Putri ate: 3/4 = y/63, where y represents the number of jelly beans Putri ate.
5. Cross-multiplying, we get 3*63 = 4y.
6. Simplifying, we get 189 = 4y.
7. Dividing both sides by 4, we find y = 47.25.
Since we cannot have a fraction of a jelly bean, we round down to the nearest whole number.
Putri ate approximately 47 jelly beans.