Question

If a:b = 3:11, find the value of (15a — 3b): (9a + 5b).​

Answer 1

Answer:

6 : 41

Step-by-step explanation:

( 15a - 3b ) / ( 9a + 5b )

= ( 15a/b - 3 ) / ( 9a/b + 5 )          [ divided numerator and denominator by b ]

= ( 15×3/11 - 3 ) / ( 9×3/11 + 5 )     [ substituted a/b = 3/11 ]

= ( 15×3 - 3×11 ) / ( 9×3 + 5×11 )   [ multiplied numerator and denominator by 11 ]

= ( 45 - 33 ) / ( 27 + 55 )

= 12 / 82

= 6 / 41

Answer 2

a: b = 3: 11

(15a-3b): (9a+5b)

(15×3-3×11):(9×3+5×11)

(45-33):(27+55)

12:82

6:41

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