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In Mathematics / Middle School | 2014-06-02

Given that 4 percent of [tex](2a + b)[/tex] is 18 and [tex]a[/tex] is a positive integer, what is the greatest possible value of [tex]b[/tex]?

Asked by ManuelLozoya

Answer (2)

4% = 0.04 0.04 ( 2 a + b ) = 18 / : 0.04 2 a + b = 450 t h e g re a t es t p oss ib l e v a l u e o f b i f a = 1 : 2 ⋅ 1 + b = 450 2 + b = 450 b = 450 − 2 b = 448 ← an s w er

Answered by Anonymous | 2024-06-10

To determine the greatest possible value of b, we derived the equation 2a + b = 450 from the initial condition. By setting a to its smallest positive integer value (1), we found that b equals 448. Thus, the maximum value of b is 448.
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Answered by Anonymous | 2025-04-11