how many candy bars

Question

There are three times the amount of milk cho. bars as there are dark choc. bars in a box. If there are a total of 140 candy bars in the box, how many of each kind of chocolate bars are in the box?

Answer 1

Hi Brian.

 

Let's define some variables

M = # milk chocolate candy bars

D = # dark chocolate candy bars

 

From the first sentence, we have

M = 3D

 

From the second sentence, we know

M + D = 140

 

We can combine these two equations by substituting 3D for M in the second equation.

M + D = 140

3D + D = 140

and solving for D

4D = 140

D = 35

 

Finally solve for M

M = 3D

M = 3(35)

M = 105

 

So there are 105 milk chocolate bars and 35 dark chocolate bars.