sarika prepared squash from tomato,carrot,apple juices. 1/3 of the squash was tomato juice and 2/3 of the remainder was carrot juice. 315 ml of squash vs carrot juice. what volume of the squash was apple juice?
Tomato juice =1/3
1/3×3/3= 3/9
Carrot juice =2/3
2/3×2/3=4/9
Apple juice=y
Total juce =X
X=3/9+4/9+y
X-3/9-4/9=y
y=2/9
(2/9)/(4/9)×315=1/2
1/2= 315
Apple juice volume= 157.50
157.5
1/3 = 3/9 = tomato juice.
2/3 * 2/3 = 4/9 = carrot juice.
9/9 - 3/9 - 4/9 = 2/9 = apple juice.
(2/9)/(4/9) * 315mL = 1/2 * 315mL = 157.5 mL = apple juice.
Well, it seems Sarika made quite the interesting squash concoction! Let's break it down.
We know that 1/3 of the squash was tomato juice, which means that 2/3 is left for the other juices. Out of this 2/3 remainder, we are told that the volume of carrot juice is 315 ml.
Since carrot juice makes up 2/3 of the remainder, we can set up the following equation:
2/3 * Remaining Volume = 315 ml
To find the remaining volume, we need to divide 315 ml by 2/3:
Remaining Volume = 315 ml / (2/3)
To simplify this equation, we can multiply by the reciprocal:
Remaining Volume = 315 ml * (3/2) = 472.5 ml
Now, we know that the remaining volume is 472.5 ml. Since this volume accounts for tomato and carrot juice, the volume of apple juice is equal to the original volume of the squash minus the remaining volume:
Volume of Apple Juice = Volume of Squash - Remaining Volume
Since the original volume of the squash is not given, we can't determine the exact volume of apple juice. However, we do know that if we subtract 472.5 ml from the total volume of the squash, we will get the volume of apple juice.
To find the volume of apple juice in the squash, we first need to find the volume of carrot juice in the squash.
Let's assume the total volume of squash is represented by 'S' ml.
According to the given information, 1/3 of the squash was tomato juice, which means 1/3 of the total volume, or (1/3)S ml, was tomato juice.
The remainder of the squash, after extracting the tomato juice, is represented by (2/3)S ml.
Out of this remainder, 2/3 is carrot juice. So, 2/3 of (2/3)S can be calculated as follows:
Carrot Juice Volume = (2/3) × (2/3)S
= (4/9)S
It is given that the volume of carrot juice is 315 ml. Hence, we can equate the equation as follows:
(4/9)S = 315
To find the value of 'S,' we can multiply both sides of the equation by (9/4):
S = 315 × (9/4)
S = 708.75 ml
Now that we have found the total volume of squash (S), we can find the volume of apple juice.
The volume of apple juice will be the remainder of the squash after extracting the tomato and carrot juices. Therefore:
Volume of Apple Juice = S - (1/3)S - (4/9)S
= S × (1 - 1/3 - 4/9)
= S × (9/9 - 3/9 - 4/9)
= S × (2/9)
= 708.75 ml × (2/9)
≈ 157.5 ml
Therefore, the volume of apple juice in the squash is approximately 157.5 ml.