Gasoline price 2

During the COVID-19 pandemic new gasoline price shceme is given by Marilou's Gas Station to help our drivers. On their purchase, the first 4 liters cost Php120.00, while the succeeding 1 1/2 liters would cost Php10.00 more than the cost of a liter. If john bought 17 1/2 liters, how much should he pay?

Correct result:

x =  660 Php

Solution:

$$\begin{gathered} V_1=4\text{ l } \\ {c}_1=120.00\mathrm{/}{V}_1=120.00\mathrm{/}4=30\text{ Php/l } \\ {c}_2=c_1+10=30+10=40\text{ Php/l } \\ V=17{\displaystyle \frac{1}{2}}={\displaystyle \frac{17\cdot 2+1}{2}}={\displaystyle \frac{35}{2}}=17.5\text{ l } \\ {V}_2=V-V_1=17.5-4={\displaystyle \frac{27}{2}}=13.5\text{ l } \\ x=V_1\cdot c_1+V_2\cdot c_2=4\cdot 30+13.5\cdot 40=660\text{ Php} \end{gathered}$$

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Showing 1 comment:

Dr Math

vznasi se napr. ve olivovej oleji... v benzine klesa (700 kg/m3) .... a ve vode stoupa (hustota 1000 kg/m3)

Vynatek ze tabulek (latka a hustota v kg/m3):
Benzín 680 - 780
Olej minerální 850 - 960
Petrolej 790 - 830
Benzol 880
Olej olivový 920
Voda 4°C 1000
Dehet černouhelný 1200
Olej parafínový 900 - 930
Glycerin 1260
Olej ricinový 970
Voda mořská 4°C 1030
Nafta 760
Olej řepkový 910 - 920

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