Answer:
70 cans of baked beans.
Step-by-step explanation:
Let x represent cans of tuna.
We have been given that there are twice as many cans of sardines as cans of tuna. So cans of sardines would be [tex]2x[/tex].
We are also told that there are 10 more cans of baked beans than cans of tuna. So cans of baked beans would be [tex]x+10[/tex].
Since there are 250 cans of sardines, tuna, and baked beans, so we will equate sum of cans of each type with 250 as:
[tex]x+2x+x+10=250[/tex]
[tex]4x+10=250[/tex]
[tex]4x+10-10=250-10[/tex]
[tex]4x=240[/tex]
[tex]\frac{4x}{4}=\frac{240}{4}[/tex]
[tex]x=60[/tex]
Cans of baked beans would be [tex]x+10\Rightarrow 60+10=70[/tex].
Therefore, there are 70 cans of baked beans.