Amanda mixed rose syrup with water in the ratio 2:5 to make some drinks for her party. She used 2.5 litres of rose syrup. She then poured 250 ml of mixture into each cup.
(A) How much water did she use?
(B) How many cups of drinks did amanda prepare?
(A) To find out how much water Amanda used, we first need to determine the total volume of the mixture.
The ratio of rose syrup to water is 2:5, which means that for every 2 parts of rose syrup, there are 5 parts of water.
The total volume of the mixture is 2 parts rose syrup + 5 parts water = 7 parts.
Since Amanda used 2.5 litres of rose syrup, we can find out how much water she used by multiplying the ratio by the amount of rose syrup used:
Water = (5 parts water / 2 parts rose syrup) x 2.5 litres of rose syrup = 6.25 litres of water.
Therefore, Amanda used 6.25 litres of water.
(B) To calculate the number of cups of drinks Amanda prepared, we need to divide the total volume of the mixture by the volume of each cup.
The total volume of the mixture is 2.5 litres of rose syrup + 6.25 litres of water = 8.75 litres.
Since 1 litre is equal to 1000 ml, we have a total volume of 8.75 x 1000 ml = 8750 ml.
Dividing 8750 ml by 250 ml per cup, we get:
Number of cups = 8750 ml / 250 ml = 35 cups.
Therefore, Amanda prepared 35 cups of drinks.