Question

If a : b = 1 : 3, find the value of (7a + 3b) : (2a + b)

Answer 1

Answer:

answer is 4:1

Step-by-step explanation:

Answer 2

a/b = 1/3

3a = b

b/a= 3

substitute b =3a

7a+(3×3a) : (2a+3a)

= 7a+9a : 5a

=16a : 5a

=16:5

Alternate method:

divide the whole ratio with a

antecedent

7a+3b /a = 7+ 3×(b/a) = 7+3×3 =16

conseqent

2a+b / a = 2+ (b/a) =2+3 =5

ratio is 16:5