Question

Offering 20 points and a thanks with 5 stars for your help please

Answer 1

$70000

Explanation:

For this problem, we need to convert the fractions into common denominators so we can get his total donated portion. From here, we can set up a proportion to fin his total income.

The greatest common denominator of 5 and 7 is 35. So

1/5 = 7/35. && 1/7 = 5/35

Add those together to get 7+5 = 12/35

So he gave away 12/35 of his income.

Now we set up a proportion to find his total.

35 / 12 = x / 24000

And now we solve for x:

x = (24000 * 35) / 12

x = 70000

So Mr. Pollard made $70000.

We can verify this by saying 24000 / 70000 to get the same reduced fraction 12/35.

Cheers.

Answer 2

$70000

Explanation:

`church + medical \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)/(5) + (1)/(7) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (12)/(35)`

He gave away combined $24000 both,

So,

`(12)/(35) =24000`

`(1)/(35) = (24000)/(12) \\ \: \: \: \: \: \: \: \: = 2000`

Therefore,

`(35)/(35) = 2000 * 35 \\ \: \: \: \: \: \: \: \: = 70000`