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levacccp
1 month ago
11

B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers

Mathematics
1 answer:
Svet_ta [9.5K]1 month ago
6 0
a : b : c = 12 : 10 : 15. To explain, if b is defined as two-fifths of c, denoting this relationship as b = \frac{2}{5}, it follows that 2c = 5b. Substituting yields c = \frac{5b}{2}. Similarly, with 4a = 3c, we can express a as \frac{3c}{4}. By manipulating these fractions, we find a : c = \frac{15b}{8} : \frac{5b}{2}, simplifying to 4:5. For b and c, from prior relationships, b:c = \frac{2c}{5} : \frac{5b}{2} simplifies to 2:3. Noticing that if b equals 15, we derive a : c = 12 : 15 and b : c = 10 : 15, which leads us to the simplified ratio of a : b : c = 12 : 10 : 15.
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