Question

One bar of candy A and two bars of candy B have 779 calories Two bars of candy A and one bar of candy B contain 781 calories. Find the caloric content of eachcandy bar

Answer 1

Given:

One bar of candy A and two bars of candy B have 779 calories.

Two bars of candy A and one bar of candy B contain 781 calories.

To find:

The caloric content of each bar.

Step-by-step explanation:

Let us write the equation as follows,

`\begin{gathered} A+2B=779.............(1) \\ 2A+B=781.............(2) \end{gathered}`

Multiplying equation (2) by 2 we get,

`4A+2B=1562..............(3)`

Subtracting equation (1) from (3), we get

`\begin{gathered} 3A=783 \\ A=261 \end{gathered}`

Substituting A = 261 in equation (1) we get,

`\begin{gathered} 261+2B=779 \\ 2B=779-261 \\ 2B=518 \\ B=259 \end{gathered}`

Final answer:

The caloric content of the candy A bar is 261.

The caloric content of the candy B bar is 259.