During the first week of winter, a business used 1/6 of a tank of heating oil. It used two times as much oil in the second week as it did in the first week. It used another 1/8 of a tank during the third week. A delivery of ½ tank was made at the end of the third week. The final fuel gauge shows a line between ½ and F. How much fuel did the business start with?
Answer:
The business started with 23/24 of their tank full
Step-by-step explanation:
Step 1.
Find the LCM of the denominators (2,6 and 8)
=24
Step 2.
Change all the fractions to have a denominator of 24
1/6=4/24
1/8=3/24
1/2=12/24
3/4= 18/24
Step 3.
Work backwards
18/24-12/24
=6/24+3/24
=9/24+(2×4/24)
=17/24+6/24
=23/24