Question

One bar of candy A and two bars of candy B have 770 calories. Two bars of candy A and one bar of candy B contain

784 calories. Find the caloric content of each candy bar.

Candy bar A has :
Candy bar B has:

Answer 1

Candy bar A has 267 calories
Candy bar B has 255 calories

Work to show:
A+2B=777
2A + B =789

rearrange the first equation to solve for A:
A=777-2B

plug 777-2B in for A in the second equation, and solve for B:
2(777-2B)+B=789

1554-4B+B=789

1554-789=3B

765=3B

B=255

substitute 255 in for B in the first rearranged equation, and solve for A:
A=777-2(255)

A=777-510

A=267

So candy bar A has 267 calories, and candy bar B has 255.