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

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

Step-by-step 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

$\frac{1}{4}(12x+8y)=\frac{1}{4}(4z)\\\Rightarrow3x+2y=z$

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

$3\times(3x+2y)=3\times\ z\\\Rightarrow\ 9x+6y=3z$

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

Answer 2

 6 graham crackers and 9 marshmallows.