The petrol tank of Cole's convertible was 80% empty. He went to the petrol station and topped up 27 ℓ of petrol. When he reached the market, the petrol tank was 85% full. Given that he used 1 ℓ of fuel to get to the market from the kiosk, find the capacity of the petrol tank.
| |
Full |
Empty |
Total |
| Before |
1x4 =
4 u |
4x4 =
16 u |
5x4 =
20 u |
| Change 1 |
+ 27 |
- 27 |
|
| Change 2 |
- 1 |
+ 1 |
|
| After |
17x1 =
17 u |
3x1 =
3 u |
20x1 =
20 u |
80% =
80100 =
45 Empty : Total = 4 : 5
85% =
85100 =
1720 Full : Total = 17 : 20
The full capacity of the petrol tank is unchanged.
Make the totals the same. LCM of 5 and 20 is 20.
Volume of petrol in the end
= 4 u + 27 - 1
= 4 u + 26
17 u = 4 u + 26
17 u - 4 u = 26
13 u = 26
1 u = 26 ÷ 13 = 2
Capacity of the petrol tank
= 20 u
= 20 x 2
= 40 ℓ
Answer(s): 40 ℓ
