Question

Alan has X chocolate bars and gets 10 more bars. He gives away half of his chocolate and then gets another 10 bars. In terms of X, how many chocolate bars does Alan now have?

a) 1.5X - 5
b) 0.5X + 20
c) 2.5X - 5
d) 0.5X - 20

Stewart’s car can hold a maximum of G gallons in its gas tank, and gas costs C dollars per gallon. If the car currently has 2 gallons of gas in the tank, what is the cost, in dollars, to fill up the rest of the tank?
a) 2C
b) GC - 2
c) G - 2C
d) 2G - C

Answer 1

Alan will have 0.5X + 15 chocolate bars after his transactions, a misprint in the given options. The cost to fill Stewart's gas tank is (G - 2) * C, corresponding to GC - 2C dollars.

Step-by-step explanation:

The question involves determining the number of chocolate bars Alan has after a series of transactions and calculating the cost to fill up a car's gas tank, both in terms of initially given variables. For Alan's chocolate bars, we start with X bars and add 10, resulting in X + 10 bars. Halving this amount gives us 0.5(X + 10), and after receiving another 10 bars, we get 0.5X + 5 + 10, which simplifies to 0.5X + 15. Thus, the correct option is b) 0.5X + 20 (incorrectly listed in the prompt).

For Stewart's car, we first need to find out how many gallons are needed to fill the tank from the current level, which is G - 2 gallons. Multiplying this by the cost per gallon gives us (G - 2) * C. Therefore, the correct option is b) GC - 2C.