Final answer:
The mixture with 6 parts sugar to 7 parts water has more sugar compared to the mixture with 3 parts sugar to 4 parts water because it has a higher ratio of sugar to the total amount of mixture.
Step-by-step explanation:
To determine which mixture has more sugar, we need to compare the ratios of sugar to water in each mixture. For the first mixture, 3 parts sugar to 4 parts water means there is a smaller fraction of sugar compared to the total mixture than the second mixture, which has 6 parts sugar to 7 parts water. To visualize this, consider two full glasses of water where different amounts of sugar are added. If the total volume is the same for both, the glass with more sugar (the second one) will have less water because the sugar takes up space within that volume.
The concept can be related to the idea of solute concentration as well. For instance, adding 45 grams of table sugar to 100ml of water would result in a mixture with a higher concentration of sugar than another cup with less sugar. The mixture with the higher sugar content is referred to as hypertonic compared to one with less sugar, which is called hypotonic.