Fruit drink is made with 150 ml blackcurrant juice to 550 ml lemonade. sam uses 825 ml blackcurrant juice. work out the total amount of the fruit drink he has made. give your answer in litres.
To find the total amount of fruit drink Sam has made, we need to calculate the ratio of blackcurrant juice to lemonade in the given fruit drink recipe.
The ratio of blackcurrant juice to lemonade is 150 ml : 550 ml, which can be simplified to 3 : 11 by dividing both sides by 50.
So, for every 3 parts of blackcurrant juice, there are 11 parts of lemonade.
Now, we know that Sam has used 825 ml of blackcurrant juice, which is 3 parts of blackcurrant juice.
To find the amount of lemonade used, we can set up a proportion:
3 parts (blackcurrant juice) is to 11 parts (lemonade) as 825 ml (blackcurrant juice) is to x (lemonade)
Using cross multiplication, we can find the value of x:
3 * x = 11 * 825
3x = 9075
x = 9075 / 3
x = 3025
So, Sam has used 3025 ml of lemonade.
Now, to find the total amount of fruit drink Sam has made, we add the amounts of blackcurrant juice (825 ml) and lemonade (3025 ml):
Total amount of fruit drink = 825 ml + 3025 ml = 3850 ml.
Finally, to convert the total amount from milliliters to liters, we divide by 1000:
Total amount of fruit drink = 3850 ml / 1000 = 3.85 liters.
Therefore, Sam has made a total of 3.85 liters of fruit drink.