150$

5t = 7c => 1050 = 7c => c = 1050/7 = 150

31

Day One: You make your first cut at the 1/7th mark and give that to the worker.
Day Two: You cut 2/7ths and pay that to the worker and receive the original 1/7th in change.
Day three: You give the worker the 1/7th you received as change on the previous day.
Day four: You give the worker 4/7ths and he returns his 1/7th cut and his 2/7th cut as change.
Day Five: You give the worker back the 1/7th cut of gold.
Day Six: You give the worker the 2/7th cut and receive the 1/7th cut back in change.
Day Seven: You pay the worker his final 1/7th.

10

2n + 2 = 22 => 2n = 20 => n = 20 / 2 => n = 10

1 hour 15 minutes, or 75 minutes. If you are standing up straight for 1 hour, then that's already 60 minutes. Then you start jumping for 1 hour. Half of that time you spend in the air, and the other half you spend on the ground. But half of that time that you spend on the ground, you are bending down, so that's only another 15 minutes you are standing up straight. There you have 1 hour 15 minutes (or 75 minutes).

Because there are 24 hours in one day, in one hour fills the first tap 1/48, the second tap 1/72, the third tap 1/96 and the fourth tap fills 1/6 of the reservoir. That is all together (6+4+3+48) / 288 = 61/288. The reservoir will be full in 288/61 hours, which is 4 hours 43 minutes and about 17 seconds.

182

The bottle is 5 cents - If the juice is 90 cents MORE than the bottle that makes the juice cost 95 cents, add the 5 cents for the bottle and you get your dollar. So no it is not 10 cents which you may have been thinking.

If it was 10 cents and the bottle is 90 cents MORE that would put the juice at $1 + 0.10 (bottle) which would put you over by 10 cents.

Here's the equation for this.

J - Juice = ( B + 90 )
B - Bottle

$1.00 = ( B + 90 ) + B

$1.00 - 90 = .10c

.10c = 2B

.05 = B

Jane is 12.

2, 2 and 9.
Let’s start with the known product 36. Write on a sheet of paper the possible combinations giving the product of 36. Knowing that the sum is not enough to be sure, there are two possible combinations with the same sum (1-6-6 a 2-2-9). The oldest son wears a hat, it is clear that the correct combination of ages is 2-2-9, where there is exactly one of them the oldest one.

22.5

1. Order the numbers : 5, 12, 15, 22, 23, 24, 25, 25
2. Find the median formula:
[x(n /2) + x (n/2 +1)] / 2
x (n /2) = 22; x(n/2 + 1) = 23
22 + 23 / 2 = 22.5

10

2 * n + 2 = 22 => 2 * n = 20 => n = 10