if possible, change each comparison of concentrate to water into a ratio. If not, explain why. a. the mix is 60% concentrate. b. the fraction of the mix that is water is 3/5 c. the difference between the amount of concentrate and water is 4 cups
6:4
To change each comparison of concentrate to water into a ratio, we need to express the relationship between the two quantities using division.
a. The mix is 60% concentrate. This can be written as a ratio of 60:40 (since 100% - 60% = 40%). However, to simplify the ratio, we divide both sides by 20 to get 3:2.
b. The fraction of the mix that is water is 3/5. This fraction can also be written as a ratio of 3:5.
c. The difference between the amount of concentrate and water is 4 cups. Since this is a difference, it cannot be expressed as a ratio directly. Ratios compare the relationship between two quantities, whereas differences involve subtracting one quantity from another.
In summary, both a. and b. can be expressed as ratios, but c. cannot.