Answer my math problem

Question

Your club wants to fund raise by selling super nutritious energy bar and super healthy vitamin candies. The sale price is 3$ for a nutritious bar and 1$ for vitamin candy. You have sold 29 items total with a revenue of 47 dollars. How many items did you sell for each kind

Answer 1

Let x be the number of nutritious bars

Let y be the number of vitamin candy

 

From the statement of the problem the total number of bars sold is 29

 

Therefore x+y = 29 ...Eq (1)

 

also your total revenue from the sale is  $47

 

Set up this table

 

No of bars     Price per bar($)     Total=No of bars x price per bar ($)

 

     x                  3                         3x

     y                  1                          y

  

then 3x + y = $ 47 ... Eq (2) , you now have two equations two unknowns

 

Solve:

 

x + y=29 , y=29-x

3x+y=47 , y = 47-3x

 

set y=y, 29-x=47-3x, add 3x and subtract 29 from both sides

 

29-29+3x-x = 47-3x+3x-29, 2x=18, x=9 ,  and y=29-9=20

 

the solution is:

 

no of nutritious bars x = 9, and no of vitamin candy bars is y = 20

 

check your solution x + y=9+20=29

                             3x+y = 3(9)+20=27+20=47 checks