Answer:
52:49
Step-by-step explanation:
pink:green
The ratio of pink to green marbles is
3k:4k
He removes 5 green marbles and adds 8 pink marbles.
Now the ratio of pink to green marbles is
(3k + 8):(4k - 5)
This rario is equal to 29:23.
(3k + 8)/(4k - 5) = 29/23
29(4k - 5) = 23(3k + 8)
116k - 145 = 69k + 184
47k = 329
k = 7
Original amounts:
3 * k = 3 * 7 = 21 pink
4 * k = 4 * 7 = 28 green
Original total = 21 + 28 = 49
Amounts after replacement:
3k + 8 = 3(7) + 8 = 29 pink
4k - 5 = 4(7) - 5 = 23 green
Total after replacement = 23 + 29 = 52
Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.
Answer:

Explanation:
It is said that the <em>order is not considered</em>, meaning that the order does not matter. For instance, ABCDEF is equal to any combination of those same letters.
Thus, this problem deals with combinations, whose formula is:

For <em>27 flavors of ice cream</em> and <em>6 dip sundaes</em>, m = 27 and n = 6:

Answer:
Question: The sum of 10 and 5 times a number is 25. Find the number.
Answer: x = 3
Step-by-step explanation:
10 + 5x = 25
5x = 25 - 10
5x = 15
x = 3
Answer:
5
Step-by-step explanation:
-7 x 4 = -28
-7 x -6 = 42
-28 + 42 = 14
14 - 9 = 5