Algebra Puzzle 2

VALUE OF POPSICLE: 12

                   Ladybug: 13

                    Flower: 24

 SCROLL DOWN TO SEE MY EPIC WORK:

      

                           Find the value of each object in the puzzle. The numbers given represent the sum
                            of the objects in each row or column. You must look for relationships among the objects.

                     Show your work and how you figured it out when you post an answer!

Here is my work:

I realized that I could make some equations to prove what each symbol stands for. Here is my work:

 Flower + 2 ladybugs=50

2Flower + 2 ladybugs =74.

From this, I can tell that one flower is equal to 24 because by adding a flower to "flower + 2 ladybugs", it turns out to be 74. 

Since the flower is equal to 24, we can create equations with variables:

(I have used ladybugs as the "x" variable sign"

24+2x=50

-24         -24

2x=26

/2     /2

x=13                     So to conclude this, a ladybug is equal to 13

To check, you can use the other equation (the horizontal equation)

2(24) + 2( 13)=74

48+26=74

So it is right after all.

To find the value of the Popsicle, I used the equation which is equal to 60.

(Ice cream is "y" variable for the next two equations)

Equation:

2(24) + y=60

48+y=60

-48      -48

y=12             So the value of the Popsicle is 12. 

To check, I have used the other equation which the sum is 61. 

24+2y+13=61

37+2y=61

-37        -37

2y=24

/2     /2

y=12