If a−3b/a+b = 3/4 , what are the following ratios?
a+b/a
1 answer:
Answer:
16/15
Step-by-step explanation:
We are given the equation;
a−3b/a+b = 3/4
We are required to determine the ratio a+b/a
It will be easier to first determine the value of a/b
Using cross multiplication; a−3b/a+b = 3/4 becomes,
4(a-3b) = 3(a+b)
4a - 12b = 3a + 3b
Combining the like terms; 4a - 3a = 3b + 12b
a = 15 b
Thus, a/b = 15/1
Taking a = 15 and b = 1
Then,
a+b/a = (15 + 1)/15
= 16/15
Therefore, the ratio a+b/a is 16/15
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