Question

Find values of a and b that make both equalities true: a/b = 2/5 and 22/a = 11/6 .

Answer 1

a=32

b=80

Explanation:

Find values of a and b that make both equalities true:

a/b = 2/5 and 22/a = 11/6 .

given that 22/a=11/16

cross multiply

11a=22x16

11a=352

a=352/11

a=32

put a=32 in a/b = 2/5 to find b we have

32/b=2/5

cross multiply we have

2b=32x5

2b=160

divide both sides by 2 we have

b=160/2

b=80

Answer 2

Explanation:

First, we will start by solving: 22/a = 11/6

Solving for a

We can first cross multiply and we get this: 22 x 6 = 11a, Simplified it would be 132 = 11a. Now we know that a = 12.

Solving for b

Now knowing a = 12 we can get this. 12/b = 2/5 same thing, cross multiply. That would be: 12 x 5 = b x 2, Simplified: 60 = 2b so b = 30