Two weeks ago, I bought two pizzas, 100MB cell phone data and 20 litres of petrol. Last week I bought one pizza, 100MB of cell phone data and 30 litres of petrol. And this week I bought two pizzas, 300MB of cell phone data and 10 litres of petrol. The price of petrol increased by 40% this week compared to the previous two weeks, but other prices stayed the same. In each of the three weeks, I spent a total of R430. What is the price of cell phone data (per 100MB)
Answers
Answer:
price of cell phone data (per 100MB) = Rs 30
Step-by-step explanation:
Let say Per pizza Price = Z Rs
Price of Data per 100 MB = D Rs
Per Litre petrol Price in first two Weeks = P Rs
Price of Petrol in Last week = P + (40/100)P = 1.4)
two pizzas, 100MB cell phone data and 20 litres of petrol.
=> 2Z + D + 20P = 430
one pizza, 100MB of cell phone data and 30 litres of petrol.
=> Z + D + 30P = 430
Equating Both
2Z + D + 20P = Z + D + 30P
=> Z = 10P
Using Z + 10P
=> 40P + D = 430
I bought two pizzas, 300MB of cell phone data and 10 litres of petrol
=> 2Z + 3D + 10*1.4P = 430
=> 20P + 3D + 14P = 430
=> 34P + 3D = 430
Equating Both 40P + D = 34P + 3D
=> 2D = 6P
=> P = D/3
=> 34(D/3) + 3D = 430
=> 34D + 9D = 1290
=> D = 1290/43
=> D = 30
price of cell phone data (per 100MB) = Rs 30