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Sagot :
- The ratio of May's age to Lilian's age is 3 : 2.
- The ratio of Lilian's age to the total age is 2 : 5.
- Lilian's age is 10 and May's age is 15.
- The ratio of the mass of potatoes and the mass of both ingredients is 5 : 7.
- The fraction of potatoes to the total mass of both ingredients is 5/7.
- The total mass of both ingredients is 21 kilograms.
What are the ages of Lilian and May?
Let May's age be represented with m
Lilian's age 2/3m
Ratio of May's age to Lilian's age = m : 2/3m
Multiply both sides by 3 : 3 : 2
Ratio of Lilian's age their total age: 2 : 5
Lilian's age = 2/5 x 25 = 10 years
May's age = 3/5 x 25 = 15 years
What is the total mass of both ingredients?
Let the mass of carrots be represented with c
The mass potatoes would be represented with 5/2c
Ratio of carrots to potatoes : 2 : 5
Ratio of the mass of potatoes to the total mass : 5 : 7 = 5/7
Mass of carrots = 5/2c - c = 9
3/2c = 9
3c = 18
c = 6
Mass of potatoes = 5/2 x 6 = 15
Total mass = 15 + 6 = 21 kilograms
To learn more about ratios, please check: https://brainly.com/question/9194979
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