There are 250 cans of sardines, tuna , and baked beans in a crate. There are twice as many cans of sardines as cans of tuna. There are 10 more cans of baked beans than cans of tuna. How many cans of baked beans are there?

Respuesta :

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.

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