Final answer:
To solve for the value of 'a', we use substitution from the given ratio a/b = 2/5 into the equation 5a + 3b = 35. Upon solving, we find that b = 7. Substituting b back into a's equation, we get a = 14/5, which is not in the presented options, so the answer is 'None of the above'.
Step-by-step explanation:
To find the value of a we have two equations:
- 5a + 3b = 35 (Equation 1)
- a/b = 2/5 (Equation 2)
From Equation 2, we can express a in terms of b: a = (2/5)b.
Substitute the expression for a from Equation 2 into Equation 1:
5((2/5)b) + 3b = 35
Simplify and solve for b:
2b + 3b = 35
5b = 35
b = 7
Now substitute b into the expression for a:
a = (2/5)(7)
a = 14/5 or a = 2.8, which is not in the provided options, so the answer is d. None of the above.