Question

At a convenience store, two candy bars and two bags of potato chips cost $\$4.00$, and three candy bars and two bags of potato chips cost $\$4.75$. What is the price of one bag of potato chips?

• A. $\$0.50$
• B. $\$0.70$
• C. $\$1.00$
• D. $\$1.25$
• E. $\$1.50$

Answer 1

The correct option is D $\$1.25$

Let the price of of candy bars be $x$ and price of potato chips bags be $y$.

Since it is given that two candy bars and two bags of potato chips cost $\$4.00$, therefore the equation becomes:

$2x+2y=4$ ......(1)

Also, three candy bars and two bags of potato chips cost $\$4.75$, the equation is:

$3x+2y=4.75$ ....(2)

Subtract equation (1) from (2), we get

$(3x-2x)+(2y-2y)=4.75-4$

$\Rightarrow x=.75$

Now substitute the value of $x$ in equation (1):

$1.5+2y=4$

$\Rightarrow 2y=4-1.5$

$\Rightarrow 2y=2.5$

$\Rightarrow y=1.25$

Hence, the price of one bag of potato chips is $\$1.25$.