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Sagot :
Answer:
- a = 80,
- b = 84,
- c = 60
=======================
Given
- a : c = 4 : 3
- b : c = 7 : 5
- The median is 80.
From the ratios we see both a and b are greater than c.
Let's find the smaller of the two, which is the median when the numbers are ordered.
- a = (4/3) c
- b = (7/5) c
Compare the fractions:
- 4/3 vs 7/5
- (4*5)/(3*5) vs (7*3)/(5*3)
- 20/15 vs 21/15
- 20 < 21, so
- 4/3 < 7/5, so a < b
or
- c < a < b
As per above, the median is a, which is 80.
Find the value of c:
- (4/3)c = 80
- c = 80*3/4
- c = 60
Find b:
- b = (7/5)*60
- b = 84
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