SOLUTION: One Milky-Way bar and two Twix bars contain 737 calories. Two Milky-Way bars and one Twix bar contain 778 calories. Find the caloric content of each candy bar

Question 1135716: One Milky-Way bar and two Twix bars contain 737 calories. Two Milky-Way bars and
one Twix bar contain 778 calories. Find the caloric content of each candy bar
Found 4 solutions by Alan3354, josgarithmetic, greenestamps, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
One Milky-Way bar and two Twix bars contain 737 calories. Two Milky-Way bars and
one Twix bar contain 778 calories. Find the caloric content of each candy bar
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M + 2T = 737
2M + T = 778
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Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
m Milkyway
t Twix

:

-
------,

-------this will give .

--------this will give .
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The given information clearly leads to the two equations

Probably the most common path to finding the number of calories in each kind of candy bar is as shown by the other tutor: add the two equations and simplify to find the number of calories in one of each, then compare to the given information to find the number of calories in each one alone.

Here is another path that can be used in this kind of problem; you can do this either with formal algebra or informally, with logical reasoning.

(1) 1 Milky Way and 2 Twix contain 737 calories.

(2) Take away one Twix and add one Milky Way and you get 2 Milky Way and 1 Twix, with 778 calories; the number of calories increased by 778-737=41.

(3) So do that again; you end up with 3 Milky Way and no Twix, and the number of calories is now 778+41 = 819.

(4) That means the number of calories in 1 Milky Way is 819/3 = 273.

Then there are any number of ways to use that knowledge to find the cost of each Twix.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

The system of equations is M + 2T = 737, (1) 2M + T = 778. (2) Now you can solve it using the Substitution method, or the Elimination method, or the Cramer' rule (determinants). In nova days, you can even use your pocket calculator with its matrix functions or numerous Internet sites to solve the system. In particular, such (free of charge) solver is at THIS website https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-2x2.solver https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-2x2.solver I used it, and the solver gave me answer 273 and 232 calories for one Milky-Way and one Twix bar, respectively.

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