# 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 781 calories. How do you find the caloric content of each candy bar?

##### 1 Answer
Oct 27, 2016

The calorie content of candies A= 265; B=251

#### Explanation:

$A + 2 B = 767 \left(1\right)$
$2 A + B = 781 \left(2\right)$
Multiplying (1) by 2 we get $2 A + 4 B = 1534 \left(3\right)$

Subtracting equation (2) from equation (3) we get,

$3 B = \left(1534 - 781\right) \mathmr{and} 3 B = 753 \therefore B = 251 \mathmr{and} A = 767 - \left(2 \cdot 251\right) = 767 - 502 = 265$
The calorie content of candies A= 265; B=251[Ans]