Solving Water to Cordial Ratio with Step-by-Step Guide
Let's solve this step by step:
1. The initial ratio of water to cordial is 3:1, which means that for every 4 parts of the mixture, 3 parts are water and 1 part is cordial.
2. The initial amount of water in the concentrated cordial is given as 360 ml.
3. To find the amount of cordial, we divide the water by 3 (since the ratio of water to cordial is 3:1):
cordial = 360 ml / 3 = 120 ml
4. So initially, we have 360 ml of water and 120 ml of cordial in the mixture.
5. We want to get a new water to cordial ratio of 7:1, which means for every 8 parts of the new mixture, 7 parts should be water.
6. Since the amount of cordial is not changing (remaining at 120 ml), we need to find how much water will give us the 7:1 ratio:
cordial = 120 ml = 1 part (from the new ratio 7:1)
We can say that 1 part (the cordial) corresponds to 120 ml, so 7 parts (water) would correspond to:
water_new = 7 * 120 ml = 840 ml
7. The amount of water that needs to be added to achieve this new ratio is the difference between the new amount of water needed (840 ml) and the initial amount of water (360 ml):
water_needed = 840 ml - 360 ml = 480 ml
To the nearest milliliter, 480 ml of water needs to be added to the mixture to have a non-concentrated cordial with a water-to-cordial ratio of 7:1.
