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If a : b = 3 : 2, then (5a + 2b) : (3a + 4b) is equal to:
a : b = 3 : 2, then (5a + 2b) : (3a + 4b)
$$\frac{a}{b\ }=\frac{3}{2}$$
So, a=3 and b=2
(5a + 2b) : (3a + 4b)
$$\left(5\times\ 3+2\times\ 2\ \right):\left(\left(3\times\ 3+4\times\ 2\right)=19:17\right)$$
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