Answer:
Total crackers on the plate are 12
Step-by-step explanation:
Manuel ate crackers = [tex]\frac{1}{3}[/tex]
His brother ate crackers = [tex]\frac{1}{4}[/tex]
Crackers left on the plate = 5
We need to find how many crackers were there on the plate.
Let x be the total crackers on the plate
So, we can write the equation
[tex]x-\frac{1}{3}x-\frac{1}{4}x=5[/tex]
Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5
[tex]\frac{12x-4x-3x}{12}=5\\\frac{12x-7x}{12}=5\\\frac{5x}{12}=5\\x=\frac{5*12}{5}\\x=12[/tex]
So, we get x = 12
Therefore, total crackers on the plate are 12
