5 .
John, Peter and Mary shared a sum of
money in the ratio 2:4:9. John and Peter
together received $360. How much money
in all was shared?
(A) $480
(B) $540
(C) $600
(D) $900

D

Step-by-step explanation:

Here, we want to know the total amount of money shared

Total ratio is 2 + 4 + 9 = 15

Now, John and Peter with ratios 2 and 4 equals $360

If we combine their ratios, what we have would be

6:9

Let the amount shared be x

Now, mathematically

6/15 * x = 360

6x = 15 * 360

x = (15 * 360)/6

x = $900

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11