ruben bought 2 large popcorn buckets and 4 small drinks for 20 dollars. lucia bought 2 large popcorn buckets and 2 small drinks for 14 dollars. how much did the large popcorn cost? the small drink

Respuesta :

Answer:

4$ for large 3$ for a small

Step-by-step explanation:

Answer:

(A) cost of one large popcorn is $4.

(B) cost of one small drink is $3.

Step-by-step explanation:

Given information:

Let the cost one of large popcorn [tex]=P[/tex]

And the cost of one small drink [tex]= D[/tex]

Now according to the given information the equations that can be formed are:

[tex]2P+4D=20\\2P+2D=14\\[/tex]

Now solving the above equation by elimination method:

[tex]4D-2D=20-14\\2D=6\\D=3[/tex]

So, the cost of one small drink is $3

Now, find the cost of one large popcorn is;

[tex]2P+4 \times 3=20\\2P=20-12\\P=4[/tex]

So, the cost of one large popcorn is $4

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