Please help with this!

166 quarters,  40 dimes

Step-by-step explanation:

x - quarters

y - dimes

      x  +        y =  206

0.25x + 0.10y = 45.50

y = 206 - x

0.25x + 0.10(206 - x) = 45.50

0.25x + 20.6 - 0.10x = 45.50

0.15x = 45.50 - 20.6

0.15 x = 24.9

x = 24.9/ 0.15 = 166 quarters

y =206 - 166 = 40 dimes

Check:

0.25*166+ 0.10*40 = 45.50

45.50 = 45.50

45

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.