Question

One bar of candy A and two bars of candy B

have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.

Answer 1

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767 (1)

b + 2a = 775 (2)

Solve for a in (1)

2b + a = 767 (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775 (flip)

2( -2b + 767 ) + b = 775 (solve)

−4b + 1534 + b = 775 (add b)

-3b + 1534 = 775 (subtract 1534 from both sides)

−3b = −759 (divide both sides by 3)

b = 253

Substitute b into (1)

a = -2b + 767 (substitute)

a = -2 (253) + 767 (solve)

a = -506 + 767 (add)

a = 261