Answer :
Answer:
50
Step-by-step explanation:
Given:
- 5.6 litres per batch
- Ratio of 4:3
To determine the number of batches reproducible from 54 litres of grape juice, we need to find the amount of grape juice per batch.
[tex] \rightarrow \sf ratio = 4 : 3[/tex]
We find the value of each ingredients in litres per batch
[tex] \sf \text{ice cream} = \frac{5.6 \times 4}{7} = 3.2 \: \text{litres}[/tex]
[tex] \sf \text{fruit juice (both grape juice} \\ \sf = \frac{5.6 \times 3}{7} = 2.4 \: \text{litres}[/tex]
Now we've found these values let look for the value for 45% grape juice in the fruit juice
[tex] \sf grape \: juice = 2.4 \times 0.045 [/tex]
[tex] \sf = 1.08 \: litres[/tex]
Lastly, we would divide 54 litres by the 45% grape juice value earlier
[tex] \rightarrow \sf number \: of \: batches = \frac{54}{1.08} [/tex]
[tex] \sf \boxed{ \sf 50}[/tex]
Answer:
50
Step-by-step explanation:
Let the amount of icecream be 4x litres and the amount of mixed fruit juice is 3x litres in each batches of smoothies.
Now the equation for one batch is:
4x + 3x = 5.6
or, 7x = 5.6
or, x = 0.8
Thus in one batch of 5.6 litres:
- Amount of icecream = 4x = 4(0.8) = 3.2 litres
- Amount of mixed fruit juice = 3x = 3(0.8) = 2.4 litres
Now,
Amount of grape juice in one batch = 45% of mixed fruit juice = 45% x 2.4
= 1.08 litres
That means,
- Number of batches prepared by 1.08 litres grape juice = 1
- or, Number of batches prepared by 1 litre grape juice = [tex]\dfrac{1}{1.08}[/tex]
- Number of batches prepared by 54 litres grape juice = [tex]\dfrac{1}{1.08}\times 54=50[/tex]