Jan has 35 teaspoons of chocolate coco mix and 45 teaspoons of french vanilla cocoa mix. she wants to put the same amount of mix into each jar, and she only wants one flavor of mix in each jar. how many jars of french vanilla cocoa mix jam fill?

5 jars of French vanilla cocoa mix jam fill .

Step-by-step explanation:

Given : Jan has 35 teaspoons of chocolate coco mix and 45 teaspoons of French vanilla cocoa mix.

She wants to put the same amount of mix into each jar, and she only wants one flavor of mix in each jar.

To Find : How many jars of French vanilla cocoa mix jam fill?

Solution:

We are supposed to find No. of jars of French vanilla cocoa mix jam fill.

So, we will find the HCF of 35 and 45

5  |  35       5  |  45

7  |   7         3  |  9

   |   1         3   |  3

                      |  1

So, HCF of 35 and 45 is 5

Hence 5 jars of French vanilla cocoa mix jam fill .

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.