Answer:
a : b = 25 : 9
Step-by-step explanation:
(3a - 5b) : (3a + 5b) = 1 : 4
Product of extremes = product of means
(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}
3a * 4 - 5b*4 = 3a + 5b
12a - 20b = 3a + 5b
Add 20b to both sides
12a = 3a + 5b + 20b
12a = 3a + 25b
Subtract 3a from both sides
12a - 3a = 25b
9a = 25b
a:b = 25 : 9
Step-by-step:
We can write it in the proportion
where x is our number of miles trying to find
We now cross multiply or use the butterfly method which I will demonstrate both
<h3>Cross Multiply</h3>We multiply the numerator with the dominator
so
and
or
Now for the
<h3>Butterfly Method </h3>You would do 7 times 24 divided by 60 or
Then simplify
so 2.8 miles in either method