Answer(s):
1.) 56 gallons
2.) 7 gallons
3.) 28 gallons
Step-by-step explanation:
<u><em>Q1: How much water can the tank hold?</em></u>
Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.
42/3 = 14
Now, multiply 14 by the denominator, 4.
14 x 4 = 56.
<em><u>So, the tank can hold 56 gallons.</u></em> [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.
<u><em>Q2: How much water was originally in the tank?</em></u>
We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]
1/8(56/1) = 7
<u><em>This means that the tank was originally 7 gallons full.</em></u> [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]
<u><em>Q3: How much water is in the tank when it is 1/2 full?</em></u>
Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.
56/2 = 28
<em><u>So, when the tank is 1/2 full, it contains 28 gallons.</u></em> [If you want to double check this answer, take the fraction 28/56 and simplify it. When you do, you get 1/2.]
