Kim's furniture store is offering a 30% discount on all its armchairs. using a proportion, find the discount of the price of an armchair that originally cost $266.00.

The discount is $79.80

Step-by-step explanation:

We need to solve this using proportions.  We take the percent out of 100 on one side of the ratio and the discount over the total price on the other.

30         discount

  =

100        266

30* 266 = 100 * discount

7980=100 discount

Divide each side by 100

7980/100 = discount

79.80 = discount

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.