Question

Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores. Drag marshmallows and graham crackers into the box to show how many Niko needs to make 3 s'mores.

Answer 1

 6 graham crackers and 9 marshmallows. 

Answer 2

Answer: Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.

Explanation:

Let x be the number of marshmallows , y be the number of graham crackers and z be the number of s'mores.

Then according to given question

Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores

gives the equation 12x+8y=4z

If we divide whole equation by 4 , we get the quantity of x and y to make z such that

`(1)/(4)(12x+8y)=(1)/(4)(4z)\\\Rightarrow3x+2y=z`

Now to make 3 s'mores, we need to multiply the equation by 3 such that

`3*(3x+2y)=3*\ z\\\Rightarrow\ 9x+6y=3z`

Thus Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.