Question

if a upon 3 = b upon 2 then find the value of the ratio 5a+3b upon 7a+2b​

Answer 1

Answer:

21:25

Step-by-step explanation:

5*3+3*2/7*3+2*2

15+6/21+4

21/25

21:25

Answer 2

Step-by-step explanation:

$let \: \: \: \: \frac{a}{ 3} = \frac{b}{2} = k \\ \\ a = 3k \\ b = 2k$

$hence \\ \\ \frac{5a + 3b}{7a + 2b} = \frac{5(3k) + 3(2k)}{7(3k) + 2(2k)} \\ \\ = \frac{15k + 6k}{21k + 4k} \\ \\ = \frac{21k}{25k} \\ \\ = \frac{21}{25}$

Ratio is. 21:25