Seth bought 18.4 gallons of gasoline for $46.74. what was the unit price of the gasoline? a. $3.96/gallon b. $2.59/gallon c. $2.54/gallon d. $4.08/gallon

One way to make this easier is to write the units.

You have $16.80 / 4 gallons.   That's  $4.20 per gallon, or we can write  4.20 dollars/gallon.

Since you want gallons per dollar, just invert the 4.20:

   N gallons / dollar = (1/N) dollars / gallon:  

   1/ (4.20 dollars/gallon) = 0.2381 gallons / dollar.

I hope this makes sense.

(Sanity) Check:  0.2381 gallons for $1   … That's a little less than one quarter gallon for $1, so if I wanted an entire gallon it would be a little over $4.  Looks reasonable.  

a is the correct

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.