34. make sense and persevere stay fit gym
charges a membership fee of $75. they offer
karate classes for an additional fee.
karate
members:
$3 per class
non-members:
$8 per class
a. how many classes could members and non-
members take before they pay the same
amount?

15 classes

Step-by-step explanation:

Let

x -----> the number of class

y ----> the total amount in charges

we know that

The total charge is equal to the number of class multiplied by the additional fee plus the membership fee (only members)

so

Members

-----> equation A

Non Members

-----> equation B

Equate equation A and equation B

Solve for x

answer: 177/8

step-by-step explanation:

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.