For 6th grade, the ratio of water to juice is 21:24 and for 7th grade is 35:40.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. A ratio in mathematics shows how many times one number is contained in another.
Given that, for 5th grade, the amount of water is 5 gallons and for 6th it is 21 gallons similarly for 7th grade it is 35 gallons.
The ratio will be calculated as below:-
For 6th grade amount of water is increased by 3 times. Then the amount of juice will be,
Juice 6th grade = 8 x 3 = 24 gallons
For 7th grade amount of water is increased by 5 times. Then the amount of juice will be,
Juive 7th grade = 8 x 5 = 40 gallons
Therefore, for 6th grade, the ratio of water to juice is 21:24 and for 7th grade is 35:40.
To know more about ratios and proportions follow
https://brainly.com/question/12024093
#SPJ1