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Sagot :
Let's have first a variable representation for each kind.
We let x be the amount of chocolate bars and y be the amount of candies.
For the first hint:
the number of chocolate bars added to twice the number of candies is 33
Mathematical Translation:
x + 2y = 33 (1st equation)
For the second hint:
the number of chocolate bars is 6 less than the number of candies
Mathematical Translation:
x = y - 6 (2nd equation)
Since we have two equations and two unknowns, then we can solve for x and y
Substitute the 2nd equation to the 1st equation.
x + 2y = 33
since x=y-6
(y-6) + 2y = 33
y - 6 + 2y = 33
y + 2y = 33 + 6
3y = 39
y = 13 -the number of candies
Substitute y=13 to the 2nd equation
x = y - 6
x = 13 - 6
x = 7 -the number of chocolate bars
There are 7 chocolate bars and 13 candies.
We let x be the amount of chocolate bars and y be the amount of candies.
For the first hint:
the number of chocolate bars added to twice the number of candies is 33
Mathematical Translation:
x + 2y = 33 (1st equation)
For the second hint:
the number of chocolate bars is 6 less than the number of candies
Mathematical Translation:
x = y - 6 (2nd equation)
Since we have two equations and two unknowns, then we can solve for x and y
Substitute the 2nd equation to the 1st equation.
x + 2y = 33
since x=y-6
(y-6) + 2y = 33
y - 6 + 2y = 33
y + 2y = 33 + 6
3y = 39
y = 13 -the number of candies
Substitute y=13 to the 2nd equation
x = y - 6
x = 13 - 6
x = 7 -the number of chocolate bars
There are 7 chocolate bars and 13 candies.
First clue can be written as x + 2y = 33
x as chocolate bar and y as candies
Second clue x = y - 6
with this we can simply solve for chocolate and candies
let's try substituting second clue x value to the first clue.
(y - 6) + 2y = 33
-6 + 3y = 33
3y = 33 + 6
3y = 39
y = 13 (we have 13 candies :D )
let's try substituting y value to the first equation(clue) to find x
x + 2(13) = 33
x + 26 = 33
x = 33 - 26
x = 7 (7 chocolate bars yummy :D)
let's now substitute it to the second equation(clue)
7 = y - 6
7 + 6 = y
13 = y (see it matches our value in the first equation)
Ba bye... :D
x as chocolate bar and y as candies
Second clue x = y - 6
with this we can simply solve for chocolate and candies
let's try substituting second clue x value to the first clue.
(y - 6) + 2y = 33
-6 + 3y = 33
3y = 33 + 6
3y = 39
y = 13 (we have 13 candies :D )
let's try substituting y value to the first equation(clue) to find x
x + 2(13) = 33
x + 26 = 33
x = 33 - 26
x = 7 (7 chocolate bars yummy :D)
let's now substitute it to the second equation(clue)
7 = y - 6
7 + 6 = y
13 = y (see it matches our value in the first equation)
Ba bye... :D
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